Understand Fractions as Unit Fraction Multiples - 4th Grade Math
Card 1 of 20
Identify the missing number: $\frac{8}{5} = \square \times \left(\frac{1}{5}\right)$.
Identify the missing number: $\frac{8}{5} = \square \times \left(\frac{1}{5}\right)$.
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$8$. The numerator of the fraction tells how many unit fractions to multiply.
$8$. The numerator of the fraction tells how many unit fractions to multiply.
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What fraction equals $12 \times \left(\frac{1}{9}\right)$?
What fraction equals $12 \times \left(\frac{1}{9}\right)$?
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$\frac{12}{9}$. Multiplying 12 copies of $\frac{1}{9}$ gives numerator 12 and denominator 9.
$\frac{12}{9}$. Multiplying 12 copies of $\frac{1}{9}$ gives numerator 12 and denominator 9.
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What equation rewrites $\frac{11}{8}$ as a multiple of a unit fraction?
What equation rewrites $\frac{11}{8}$ as a multiple of a unit fraction?
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$\frac{11}{8} = 11 \times \left(\frac{1}{8}\right)$. Shows that $\frac{11}{8}$ equals 11 copies of the unit fraction $\frac{1}{8}$.
$\frac{11}{8} = 11 \times \left(\frac{1}{8}\right)$. Shows that $\frac{11}{8}$ equals 11 copies of the unit fraction $\frac{1}{8}$.
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What equation rewrites $\frac{4}{7}$ as a multiple of a unit fraction?
What equation rewrites $\frac{4}{7}$ as a multiple of a unit fraction?
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$\frac{4}{7} = 4 \times \left(\frac{1}{7}\right)$. Shows that $\frac{4}{7}$ equals 4 copies of the unit fraction $\frac{1}{7}$.
$\frac{4}{7} = 4 \times \left(\frac{1}{7}\right)$. Shows that $\frac{4}{7}$ equals 4 copies of the unit fraction $\frac{1}{7}$.
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Identify the missing number: $\frac{7}{12} = 7 \times \left(\frac{1}{\square}\right)$.
Identify the missing number: $\frac{7}{12} = 7 \times \left(\frac{1}{\square}\right)$.
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$12$. The denominator of the unit fraction matches the original denominator.
$12$. The denominator of the unit fraction matches the original denominator.
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Find and correct the error: $\frac{6}{7} = 7 \times \left(\frac{1}{6}\right)$.
Find and correct the error: $\frac{6}{7} = 7 \times \left(\frac{1}{6}\right)$.
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$\frac{6}{7} = 6 \times \left(\frac{1}{7}\right)$. The numerator and denominator were swapped in the incorrect equation.
$\frac{6}{7} = 6 \times \left(\frac{1}{7}\right)$. The numerator and denominator were swapped in the incorrect equation.
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What fraction equals $6 \times \left(\frac{1}{5}\right)$?
What fraction equals $6 \times \left(\frac{1}{5}\right)$?
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$\frac{6}{5}$. Multiplying 6 copies of $\frac{1}{5}$ gives numerator 6 and denominator 5.
$\frac{6}{5}$. Multiplying 6 copies of $\frac{1}{5}$ gives numerator 6 and denominator 5.
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Find and correct the error: $\frac{5}{9} = 5 \times \left(\frac{1}{5}\right)$.
Find and correct the error: $\frac{5}{9} = 5 \times \left(\frac{1}{5}\right)$.
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$\frac{5}{9} = 5 \times \left(\frac{1}{9}\right)$. The unit fraction must have denominator 9 to match the original fraction.
$\frac{5}{9} = 5 \times \left(\frac{1}{9}\right)$. The unit fraction must have denominator 9 to match the original fraction.
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What does $4 \times \left(\frac{1}{6}\right)$ mean in words?
What does $4 \times \left(\frac{1}{6}\right)$ mean in words?
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Four copies of $\frac{1}{6}$. Multiplication means taking 4 equal parts, each worth $\frac{1}{6}$.
Four copies of $\frac{1}{6}$. Multiplication means taking 4 equal parts, each worth $\frac{1}{6}$.
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What equation rewrites $\frac{9}{10}$ as a multiple of a unit fraction?
What equation rewrites $\frac{9}{10}$ as a multiple of a unit fraction?
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$\frac{9}{10} = 9 \times \left(\frac{1}{10}\right)$. Shows that $\frac{9}{10}$ equals 9 copies of the unit fraction $\frac{1}{10}$.
$\frac{9}{10} = 9 \times \left(\frac{1}{10}\right)$. Shows that $\frac{9}{10}$ equals 9 copies of the unit fraction $\frac{1}{10}$.
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What equation rewrites $\frac{7}{3}$ as a multiple of a unit fraction?
What equation rewrites $\frac{7}{3}$ as a multiple of a unit fraction?
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$\frac{7}{3} = 7 \times \left(\frac{1}{3}\right)$. Shows that $\frac{7}{3}$ equals 7 copies of the unit fraction $\frac{1}{3}$.
$\frac{7}{3} = 7 \times \left(\frac{1}{3}\right)$. Shows that $\frac{7}{3}$ equals 7 copies of the unit fraction $\frac{1}{3}$.
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What equation rewrites $\frac{5}{4}$ as a multiple of a unit fraction?
What equation rewrites $\frac{5}{4}$ as a multiple of a unit fraction?
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$\frac{5}{4} = 5 \times \left(\frac{1}{4}\right)$. Shows that $\frac{5}{4}$ equals 5 copies of the unit fraction $\frac{1}{4}$.
$\frac{5}{4} = 5 \times \left(\frac{1}{4}\right)$. Shows that $\frac{5}{4}$ equals 5 copies of the unit fraction $\frac{1}{4}$.
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What does the denominator $b$ tell you in the unit fraction $\frac{1}{b}$?
What does the denominator $b$ tell you in the unit fraction $\frac{1}{b}$?
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The whole is split into $b$ equal parts. The denominator shows how many equal pieces make one whole.
The whole is split into $b$ equal parts. The denominator shows how many equal pieces make one whole.
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What does the numerator $a$ mean in $\frac{a}{b} = a \times \left(\frac{1}{b}\right)$?
What does the numerator $a$ mean in $\frac{a}{b} = a \times \left(\frac{1}{b}\right)$?
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$a$ copies of $\frac{1}{b}$. The numerator tells how many unit fractions to multiply together.
$a$ copies of $\frac{1}{b}$. The numerator tells how many unit fractions to multiply together.
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What is the unit fraction in the expression $\frac{a}{b} = a \times \left(\frac{1}{b}\right)$?
What is the unit fraction in the expression $\frac{a}{b} = a \times \left(\frac{1}{b}\right)$?
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$\frac{1}{b}$. The unit fraction has numerator 1 and the same denominator as the original fraction.
$\frac{1}{b}$. The unit fraction has numerator 1 and the same denominator as the original fraction.
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What fraction equals $3 \times \left(\frac{1}{4}\right)$?
What fraction equals $3 \times \left(\frac{1}{4}\right)$?
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$\frac{3}{4}$. Multiplying 3 copies of $\frac{1}{4}$ gives numerator 3 and denominator 4.
$\frac{3}{4}$. Multiplying 3 copies of $\frac{1}{4}$ gives numerator 3 and denominator 4.
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Which unit fraction is being multiplied in $\frac{13}{6} = 13 \times \left(\frac{1}{6}\right)$?
Which unit fraction is being multiplied in $\frac{13}{6} = 13 \times \left(\frac{1}{6}\right)$?
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$\frac{1}{6}$. The unit fraction has the same denominator as the original fraction.
$\frac{1}{6}$. The unit fraction has the same denominator as the original fraction.
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What multiplication expression writes $\frac{10}{3}$ as a multiple of a unit fraction?
What multiplication expression writes $\frac{10}{3}$ as a multiple of a unit fraction?
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$10 \times \left(\frac{1}{3}\right)$. The numerator 10 shows how many copies of $\frac{1}{3}$ are needed.
$10 \times \left(\frac{1}{3}\right)$. The numerator 10 shows how many copies of $\frac{1}{3}$ are needed.
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What multiplication expression writes $\frac{2}{9}$ as a multiple of a unit fraction?
What multiplication expression writes $\frac{2}{9}$ as a multiple of a unit fraction?
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$2 \times \left(\frac{1}{9}\right)$. The numerator 2 shows how many copies of $\frac{1}{9}$ are needed.
$2 \times \left(\frac{1}{9}\right)$. The numerator 2 shows how many copies of $\frac{1}{9}$ are needed.
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What fraction equals $11\times\frac{1}{12}$?
What fraction equals $11\times\frac{1}{12}$?
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$\frac{11}{12}$. Multiplying gives $ rac{11}{12}$.
$\frac{11}{12}$. Multiplying gives $ rac{11}{12}$.
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