This question tests comparing fractions with the same numerator or same denominator (CCSS.3.NF.3.d), specifically using reasoning about size to determine which fraction is greater, less than, or equal to another. When fractions have the same denominator (like $\frac{2}{8}$ and $\frac{5}{8}$), the fraction with the larger numerator is greater because more parts of the same-size whole are shaded ($\frac{5}{8}$ > $\frac{2}{8}$). When fractions have the same numerator (like $\frac{1}{3}$ and $\frac{1}{6}$), the fraction with the smaller denominator is greater because the pieces are bigger ($\frac{1}{3}$ > $\frac{1}{6}$ because thirds are bigger than sixths—imagine 1 out of 3 equal pieces vs 1 out of 6 equal pieces of the same pizza). In this problem, the two fractions being compared are $\frac{1}{4}$ and $\frac{3}{4}$, which have the same denominator; the visual models show 1 out of 4 parts shaded versus 3 out of 4 parts shaded in same-size wholes. Choice C is correct because $\frac{1}{4}$ < $\frac{3}{4}$ since they have the same denominator (4) and 1 part < 3 parts; the comparison is valid because both fractions refer to same-size wholes. Choice B represents the error of reversing the comparison, which happens when students confuse the greater than and less than symbols or apply whole number rules to fractions. To help students compare fractions: Use visual models (area models, fraction bars, number lines) to show size differences. Teach: same denominator → compare numerators (more parts = more). Same numerator → compare denominators (fewer divisions = bigger pieces). Practice with real contexts: $\frac{3}{8}$ of pizza vs $\frac{5}{8}$ of same pizza ($\frac{5}{8}$ is more). $\frac{1}{2}$ of brownie vs $\frac{1}{4}$ of same brownie ($\frac{1}{2}$ is more because halves bigger than fourths). Always emphasize same-size wholes. Watch for students who think $\frac{1}{8}$ > $\frac{1}{4}$ because '8 is bigger than 4.'

This question tests comparing fractions with the same numerator or same denominator (CCSS.3.NF.3.d), specifically using reasoning about size to determine which fraction is greater, less than, or equal to another. When fractions have the same denominator (like 2/8 and 5/8), the fraction with the larger numerator is greater because more parts of the same-size whole are shaded (5 eighths > 2 eighths). When fractions have the same numerator (like 1/3 and 1/6), the fraction with the smaller denominator is greater because the pieces are bigger (1/3 > 1/6 because thirds are bigger than sixths—imagine 1 out of 3 equal pieces vs 1 out of 6 equal pieces of the same pizza). In this problem, the two fractions being compared are 2/6 and 4/6, which have the same denominator, and the visual models show 2 out of 6 parts shaded versus 4 out of 6 parts shaded in same-size wholes. Choice C is correct because 2/6 < 4/6 since they have the same denominator (6) and 2 parts < 4 parts, and the comparison is valid because both fractions refer to same-size wholes. Choice A represents the error of reversing the comparison, which happens when students confuse > and < symbols or think fractions work like whole numbers where bigger numbers = larger value. To help students compare fractions: Use visual models (area models, fraction bars, number lines) to show size differences. Teach: same denominator → compare numerators (more parts = more). Same numerator → compare denominators (fewer divisions = bigger pieces). Practice with real contexts: 3/8 of pizza vs 5/8 of same pizza (5/8 is more). 1/2 of brownie vs 1/4 of same brownie (1/2 is more because halves bigger than fourths). Always emphasize same-size wholes. Watch for students who think 1/8 > 1/4 because '8 is bigger than 4.'

This question tests comparing fractions with the same numerator or same denominator (CCSS.3.NF.3.d), specifically using reasoning about size to determine which fraction is greater, less than, or equal to another. When fractions have the same denominator (like 2/8 and 5/8), the fraction with the larger numerator is greater because more parts of the same-size whole are shaded (5 eighths > 2 eighths). When fractions have the same numerator (like 1/3 and 1/6), the fraction with the smaller denominator is greater because the pieces are bigger (1/3 > 1/6 because thirds are bigger than sixths—imagine 1 out of 3 equal pieces vs 1 out of 6 equal pieces of the same pizza). In this problem, the two fractions being compared are 2/8 (Jamal) and 5/8 (Sofia), which have the same denominator, and the visual models show portions eaten from same-size pizzas. Choice B is correct because Sofia ate more since 2/8 < 5/8 as they have the same denominator (8) and 2 parts < 5 parts, and the comparison is valid because both fractions refer to same-size wholes. Choice A represents the error of reversing the comparison, which happens when students confuse which numerator is larger or misread the symbols. To help students compare fractions: Use visual models (area models, fraction bars, number lines) to show size differences. Teach: same denominator → compare numerators (more parts = more). Same numerator → compare denominators (fewer divisions = bigger pieces). Practice with real contexts: 3/8 of pizza vs 5/8 of same pizza (5/8 is more). 1/2 of brownie vs 1/4 of same brownie (1/2 is more because halves bigger than fourths). Always emphasize same-size wholes. Watch for students who think 1/8 > 1/4 because '8 is bigger than 4.'

This question tests comparing fractions with the same numerator or same denominator (CCSS.3.NF.3.d), specifically using reasoning about size to determine which fraction is greater, less than, or equal to another. When fractions have the same denominator (like 2/8 and 5/8), the fraction with the larger numerator is greater because more parts of the same-size whole are shaded (5 eighths > 2 eighths). When fractions have the same numerator (like 1/3 and 1/6), the fraction with the smaller denominator is greater because the pieces are bigger (1/3 > 1/6 because thirds are bigger than sixths—imagine 1 out of 3 equal pieces vs 1 out of 6 equal pieces of the same pizza). In this problem, the two fractions being compared are 1/3 and 1/6, which have the same numerator; the context implies same-size brownies, like 1 out of 3 parts versus 1 out of 6 parts. Choice D is correct because Chen has more with 1/3 > 1/6 since they have the same numerator (1) and thirds are bigger pieces than sixths; the comparison is valid because both refer to same-size wholes. Choice A represents the error of thinking larger denominator means larger fraction when numerator is same, which happens when students don't understand that bigger denominators mean smaller pieces. To help students compare fractions: Use visual models (area models, fraction bars, number lines) to show size differences. Teach: same denominator → compare numerators (more parts = more). Same numerator → compare denominators (fewer divisions = bigger pieces). Practice with real contexts: 3/8 of pizza vs 5/8 of same pizza (5/8 is more). 1/2 of brownie vs 1/4 of same brownie (1/2 is more because halves bigger than fourths). Always emphasize same-size wholes. Watch for students who think 1/8 > 1/4 because '8 is bigger than 4.'

This question tests comparing fractions with the same numerator or same denominator (CCSS.3.NF.3.d), specifically using reasoning about size to determine which fraction is greater, less than, or equal to another. When fractions have the same denominator (like $\frac{2}{8}$ and $\frac{5}{8}$), the fraction with the larger numerator is greater because more parts of the same-size whole are shaded ($5$ eighths > $2$ eighths). When fractions have the same numerator (like $\frac{1}{3}$ and $\frac{1}{6}$), the fraction with the smaller denominator is greater because the pieces are bigger ($\frac{1}{3}$ > $\frac{1}{6}$ because thirds are bigger than sixths—imagine 1 out of 3 equal pieces vs 1 out of 6 equal pieces of the same pizza). In this problem, the two fractions being compared are $\frac{1}{3}$ and $\frac{1}{6}$, which have the same numerator of 1, in the context of same-size brownies. Choice A is correct because Chen has more ($\frac{1}{3}$ > $\frac{1}{6}$) since they have the same numerator (1) and thirds are bigger pieces than sixths; the comparison is valid because both fractions refer to same-size wholes. Choice B represents the error of thinking larger denominator means larger fraction when numerator is same, which happens when students apply whole number rules to fractions. To help students compare fractions: Use visual models (area models, fraction bars, number lines) to show size differences. Teach: same denominator → compare numerators (more parts = more). Same numerator → compare denominators (fewer divisions = bigger pieces). Practice with real contexts: $\frac{3}{8}$ of pizza vs $\frac{5}{8}$ of same pizza ($\frac{5}{8}$ is more). $\frac{1}{2}$ of brownie vs $\frac{1}{4}$ of same brownie ($\frac{1}{2}$ is more because halves bigger than fourths). Always emphasize same-size wholes. Watch for students who think $\frac{1}{8}$ > $\frac{1}{4}$ because '8 is bigger than 4.'

This question tests comparing fractions with the same numerator or same denominator (CCSS.3.NF.3.d), specifically using reasoning about size to determine which fraction is greater, less than, or equal to another. When fractions have the same denominator (like $2/8$ and $5/8$), the fraction with the larger numerator is greater because more parts of the same-size whole are shaded ($5/8$ > $2/8$). When fractions have the same numerator (like $1/3$ and $1/6$), the fraction with the smaller denominator is greater because the pieces are bigger ($1/3$ > $1/6$ because thirds are bigger than sixths—imagine 1 out of 3 equal pieces vs 1 out of 6 equal pieces of the same pizza). In this problem, the two fractions being compared are $3/8$ and $5/8$, which have the same denominator of 8, and the models show same-size wholes. Choice B is correct because $3/8$ is less than $5/8$ since they have the same denominator (8) and 3 parts < 5 parts; the comparison is valid because both fractions refer to same-size wholes. Choice A represents the error of reversing the comparison, which happens when students confuse > and < symbols or think fractions work like whole numbers where bigger numbers = larger value. To help students compare fractions: Use visual models (area models, fraction bars, number lines) to show size differences. Teach: same denominator → compare numerators (more parts = more). Same numerator → compare denominators (fewer divisions = bigger pieces). Practice with real contexts: $3/8$ of pizza vs $5/8$ of same pizza ($5/8$ is more). $1/2$ of brownie vs $1/4$ of same brownie ($1/2$ is more because halves bigger than fourths). Always emphasize same-size wholes. Watch for students who think $1/8$ > $1/4$ because '8 is bigger than 4.'

This question tests comparing fractions with the same numerator or same denominator (CCSS.3.NF.3.d), specifically using reasoning about size to determine which fraction is greater, less than, or equal to another. When fractions have the same denominator (like 2/8 and 5/8), the fraction with the larger numerator is greater because more parts of the same-size whole are shaded (5 eighths > 2 eighths). When fractions have the same numerator (like 1/3 and 1/6), the fraction with the smaller denominator is greater because the pieces are bigger (1/3 > 1/6 because thirds are bigger than sixths—imagine 1 out of 3 equal pieces vs 1 out of 6 equal pieces of the same pizza). In this problem, the two fractions being compared are 1/4 and 3/4, which have the same denominator, and the visual models show 1 out of 4 parts shaded versus 3 out of 4 parts shaded in same-size rectangles. Choice C is correct because 1/4 < 3/4 since they have the same denominator (4) and 1 part < 3 parts, and the comparison is valid because both fractions refer to same-size wholes. Choice A represents the error of reversing the comparison, which happens when students think larger numerator means smaller fraction or confuse symbols. To help students compare fractions: Use visual models (area models, fraction bars, number lines) to show size differences. Teach: same denominator → compare numerators (more parts = more). Same numerator → compare denominators (fewer divisions = bigger pieces). Practice with real contexts: 3/8 of pizza vs 5/8 of same pizza (5/8 is more). 1/2 of brownie vs 1/4 of same brownie (1/2 is more because halves bigger than fourths). Always emphasize same-size wholes. Watch for students who think 1/8 > 1/4 because '8 is bigger than 4.'

This question tests comparing fractions with the same numerator or same denominator (CCSS.3.NF.3.d), specifically using reasoning about size to determine which fraction is greater, less than, or equal to another. When fractions have the same denominator (like 2/8 and 5/8), the fraction with the larger numerator is greater because more parts of the same-size whole are shaded (5 eighths > 2 eighths). When fractions have the same numerator (like 1/3 and 1/6), the fraction with the smaller denominator is greater because the pieces are bigger (1/3 > 1/6 because thirds are bigger than sixths—imagine 1 out of 3 equal pieces vs 1 out of 6 equal pieces of the same pizza). In this problem, the two fractions being compared are 1/2 and 1/4, which have the same numerator; the visual models show 1 out of 2 parts shaded versus 1 out of 4 parts shaded in same-size wholes. Choice B is correct because 1/2 > 1/4 since they have the same numerator (1) and halves are bigger pieces than fourths; the comparison is valid because both fractions refer to same-size wholes. Choice A represents the error of thinking larger denominator means larger fraction when numerator is same, which happens when students apply whole number rules to fractions where bigger numbers equal larger value. To help students compare fractions: Use visual models (area models, fraction bars, number lines) to show size differences. Teach: same denominator → compare numerators (more parts = more). Same numerator → compare denominators (fewer divisions = bigger pieces). Practice with real contexts: 3/8 of pizza vs 5/8 of same pizza (5/8 is more). 1/2 of brownie vs 1/4 of same brownie (1/2 is more because halves bigger than fourths). Always emphasize same-size wholes. Watch for students who think 1/8 > 1/4 because '8 is bigger than 4.'

This question tests comparing fractions with the same numerator or same denominator (CCSS.3.NF.3.d), specifically using reasoning about size to determine which fraction is greater, less than, or equal to another. When fractions have the same denominator (like 2/8 and 5/8), the fraction with the larger numerator is greater because more parts of the same-size whole are shaded (5 eighths > 2 eighths). When fractions have the same numerator (like 1/3 and 1/6), the fraction with the smaller denominator is greater because the pieces are bigger (1/3 > 1/6 because thirds are bigger than sixths—imagine 1 out of 3 equal pieces vs 1 out of 6 equal pieces of the same pizza). In this problem, the two fractions being compared are 2/3 and 1/3, which have the same denominator, and the question asks which is smaller in same-size wholes. Choice B is correct because 1/3 is smaller than 2/3 since they have the same denominator (3) and 1 part < 2 parts, and the comparison is valid because both fractions refer to same-size wholes. Choice A represents the error of thinking larger numerator means smaller fraction, which happens when students apply whole number rules to fractions. To help students compare fractions: Use visual models (area models, fraction bars, number lines) to show size differences. Teach: same denominator → compare numerators (more parts = more). Same numerator → compare denominators (fewer divisions = bigger pieces). Practice with real contexts: 3/8 of pizza vs 5/8 of same pizza (5/8 is more). 1/2 of brownie vs 1/4 of same brownie (1/2 is more because halves bigger than fourths). Always emphasize same-size wholes. Watch for students who think 1/8 > 1/4 because '8 is bigger than 4.'

This question tests comparing fractions with the same numerator or same denominator (CCSS.3.NF.3.d), specifically using reasoning about size to determine which fraction is greater, less than, or equal to another. When fractions have the same denominator (like 2/8 and 5/8), the fraction with the larger numerator is greater because more parts of the same-size whole are shaded (5 eighths > 2 eighths). When fractions have the same numerator (like 1/3 and 1/6), the fraction with the smaller denominator is greater because the pieces are bigger (1/3 > 1/6 because thirds are bigger than sixths—imagine 1 out of 3 equal pieces vs 1 out of 6 equal pieces of the same pizza). In this problem, the two fractions being compared are 2/3 and 1/3, which have the same denominator; the visual models show 2 out of 3 parts shaded versus 1 out of 3 parts shaded in same-size wholes. Choice B is correct because 2/3 > 1/3 since they have the same denominator (3) and 2 parts > 1 part; the comparison is valid because both fractions refer to same-size wholes. Choice A represents the error of reversing the comparison, which happens when students think more parts mean less or confuse the symbols. To help students compare fractions: Use visual models (area models, fraction bars, number lines) to show size differences. Teach: same denominator → compare numerators (more parts = more). Same numerator → compare denominators (fewer divisions = bigger pieces). Practice with real contexts: 3/8 of pizza vs 5/8 of same pizza (5/8 is more). 1/2 of brownie vs 1/4 of same brownie (1/2 is more because halves bigger than fourths). Always emphasize same-size wholes. Watch for students who think 1/8 > 1/4 because '8 is bigger than 4.'