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ISEE Lower Level Quantitative : Fractions

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Fractions

Which fraction is the smallest?

Possible Answers:

$\dpi{100} \frac{2}{3}$ $\displaystyle \dpi{100} \frac{2}{3}$

$\dpi{100} \frac{1}{8}$ $\displaystyle \dpi{100} \frac{1}{8}$

$\dpi{100} \frac{1}{4}$ $\displaystyle \dpi{100} \frac{1}{4}$

$\dpi{100} \frac{3}{4}$ $\displaystyle \dpi{100} \frac{3}{4}$

Correct answer:

$\dpi{100} \frac{1}{8}$ $\displaystyle \dpi{100} \frac{1}{8}$

Explanation:

Fractions get smaller as the numerator (top number) gets smaller, and the denominator (bottom number) gets bigger. $\dpi{100} \frac{1}{8}$ $\displaystyle \dpi{100} \frac{1}{8}$ has the smallest numerator AND the largest denominator of any of the fractions.

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Example Question #2 : Fractions

Convert 0.5 into a fraction.

Possible Answers:

$\frac{5}{1}$ $\displaystyle \frac{5}{1}$

$\frac{10}{5}$ $\displaystyle \frac{10}{5}$

$\frac{4}{5}$ $\displaystyle \frac{4}{5}$

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

$\frac{2}{3}$ $\displaystyle \frac{2}{3}$

Correct answer:

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

Explanation:

If a number is one position to the right of the decimal, the the decimal is equal to that number divided by ten. 0.5 is equal to $\frac{5}{10}$ $\displaystyle \frac{5}{10}$ .

We reduce the fraction to its simplest form. We divide the numerator by 5 and the denominator by 5.

$\frac{5\div5}{10\div5}$ $\displaystyle \frac{5\div5}{10\div5}$

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

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Example Question #592 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Convert $\frac{7}{10}$ $\displaystyle \frac{7}{10}$ into a decimal.

Possible Answers:

7.10 $\displaystyle 7.10$

0.7 $\displaystyle 0.7$

$\displaystyle 7$

0.07 $\displaystyle 0.07$

0.710 $\displaystyle 0.710$

Correct answer:

0.7 $\displaystyle 0.7$

Explanation:

$\frac{7}{10}$ $\displaystyle \frac{7}{10}$ is also called "seven-tenths". The tenths spot is to the right of the decimal point. 0.7 $\displaystyle 0.7$ is equal to seven tenths.

Ones: 7=7 $\displaystyle 7=7$

Tenths: $\frac{7}{10}=0.7$ $\displaystyle \frac{7}{10}=0.7$

Hundredths: $\frac{7}{100}=0.07$ $\displaystyle \frac{7}{100}=0.07$

Thousandths: $\frac{7}{1000}=0.007$ $\displaystyle \frac{7}{1000}=0.007$

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Example Question #3 : Fractions

Which is the smallest fraction?

Possible Answers:

$\frac{1}{11}$ $\displaystyle \frac{1}{11}$

$\frac{3}{10}$ $\displaystyle \frac{3}{10}$

$\frac{1}{20}$ $\displaystyle \frac{1}{20}$

$\frac{2}{5}$ $\displaystyle \frac{2}{5}$

Correct answer:

$\frac{1}{20}$ $\displaystyle \frac{1}{20}$

Explanation:

$\frac{1}{20}$ $\displaystyle \frac{1}{20}$ is the smallest fraction because it has the biggest denominator (which means that all of the pieces it's divided up into are the smallest out of the choices). Also, only 1 of those pieces would be shaded, so it is the smallest out of the choices.

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Example Question #4 : Fractions

Find the decimal equivalent of $\frac{3}{20}$ $\displaystyle \frac{3}{20}$ .

Possible Answers:

0.3 $\displaystyle 0.3$

0.9 $\displaystyle 0.9$

0.20 $\displaystyle 0.20$

0.15 $\displaystyle 0.15$

Correct answer:

0.15 $\displaystyle 0.15$

Explanation:

To convert a fraction to a decimal, the denominator of the fraction must be 100.

$\frac{3}{20}$ $\displaystyle \frac{3}{20}$ becomes $\frac{15}{100}$ $\displaystyle \frac{15}{100}$ . When the number is over one hundred, you can simply write it as a decimal, giving you 0.15.

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Example Question #5 : Fractions

Write $\frac{6}{100}$ $\displaystyle \frac{6}{100}$ as a decimal.

Possible Answers:

$\displaystyle .006$

$\displaystyle .06$

$\displaystyle .600$

$\displaystyle .6$

$\displaystyle .66$

Correct answer:

$\displaystyle .06$

Explanation:

The fraction is 6 hundredths, therefore the decimal must have the 6 in the hundredths place, or .06.

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Example Question #1 : How To Find The Decimal Equivalent Of A Fraction

What is the decimal equivalent to $\frac{4}{7}$ $\displaystyle \frac{4}{7}$ , rounded to two decimal points?

Possible Answers:

$\displaystyle .5$

$\displaystyle .57$

5.7 $\displaystyle 5.7$

$\displaystyle .6$

Correct answer:

$\displaystyle .57$

Explanation:

To convert a fraction into a decimal, divide the numerator by the denominator.: $4\div7=.571$ $\displaystyle 4\div7=.571$

This number has three digits of precision, but the question stem asks for two. $\displaystyle 1$ is less than $\displaystyle 5$ , so $\displaystyle .571$ rounds down to $\displaystyle .57$ .

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Example Question #6 : Fractions

Which fraction is largest?

Possible Answers:

$\frac{1}{10}$ $\displaystyle \frac{1}{10}$

$\frac{3}{8}$ $\displaystyle \frac{3}{8}$

$\frac{1}{4}$ $\displaystyle \frac{1}{4}$

$\frac{6}{25}$ $\displaystyle \frac{6}{25}$

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

Correct answer:

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$

Explanation:

$\frac{1}{2}$ $\displaystyle \frac{1}{2}$ is equal to 50%, while all the other fractions are between 10% and 36%. A good rule of thumb is that the smaller the denominator, the larger the fraction's value.

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Example Question #7 : Fractions

Which of these numbers is equal to $\frac{35}{50}$ $\displaystyle \frac{35}{50}$ ?

Possible Answers:

3.5 $\displaystyle 3.5$

$\displaystyle .07$

$\displaystyle .70$

$\displaystyle .35$

Correct answer:

$\displaystyle .70$

Explanation:

To change a fraction into a decimal, divide the numerator by the denominator.

$35\div50=.70$ $\displaystyle 35\div50=.70$

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Example Question #8 : Fractions

Which of these numbers is equal to $\frac{75}{100}$ $\displaystyle \frac{75}{100}$ ?

Possible Answers:

$\displaystyle .075$

$\displaystyle 75$

7.5 $\displaystyle 7.5$

$\displaystyle .75$

Correct answer:

$\displaystyle .75$

Explanation:

To convert a fraction into a decimal, divide the numerator by the denominator.

$75\div100=.75$ $\displaystyle 75\div100=.75$

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All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

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ISEE Lower Level Quantitative : Fractions

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #1 : Fractions

Example Question #2 : Fractions

Example Question #592 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Example Question #3 : Fractions

Example Question #4 : Fractions

Example Question #5 : Fractions

Example Question #1 : How To Find The Decimal Equivalent Of A Fraction

Example Question #6 : Fractions

Example Question #7 : Fractions

Example Question #8 : Fractions

All ISEE Lower Level Quantitative Resources

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