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ISEE Lower Level Quantitative : How to find the decimal equivalent of a fraction

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

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All ISEE Lower Level Quantitative Resources

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Example Questions

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

Which fraction is the smallest?

Possible Answers:

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

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

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

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

Correct answer:

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

Explanation:

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

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Example Question #2 :How To Find The Decimal Equivalent Of A Fraction

Convert 0.5 into a fraction.

Possible Answers:

$\frac{4}{5}$

$\frac{5}{1}$

$\frac{2}{3}$

$\frac{1}{2}$

$\frac{10}{5}$

Correct answer:

$\frac{1}{2}$

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 $\frac{5}{10}$ .

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

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

$\frac{1}{2}$

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Example Question #3 :How To Find The Decimal Equivalent Of A Fraction

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

Possible Answers:

7.10

0.7

0.710

0.07

Correct answer:

0.7

Explanation:

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

Ones: 7=7

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

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

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

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Example Question #4 :How To Find The Decimal Equivalent Of A Fraction

Which is the smallest fraction?

Possible Answers:

$\frac{1}{11}$

$\frac{2}{5}$

$\frac{3}{10}$

$\frac{1}{20}$

Correct answer:

$\frac{1}{20}$

Explanation:

$\frac{1}{20}$ 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 #5 :How To Find The Decimal Equivalent Of A Fraction

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

Possible Answers:

0.9

0.3

0.20

0.15

Correct answer:

0.15

Explanation:

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

$\frac{3}{20}$ 就变成了 $\frac{15}{100}$ . 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 #6 :How To Find The Decimal Equivalent Of A Fraction

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

Possible Answers:

Correct answer:

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 #7 :How To Find The Decimal Equivalent Of A Fraction

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

Possible Answers:

5.7

Correct answer:

Explanation:

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

This number has three digits of precision, but the question stem asks for two.is less than, sorounds down to.

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Example Question #8 :How To Find The Decimal Equivalent Of A Fraction

Which fraction is largest?

Possible Answers:

$\frac{1}{10}$

$\frac{1}{4}$

$\frac{6}{25}$

$\frac{3}{8}$

$\frac{1}{2}$

Correct answer:

$\frac{1}{2}$

Explanation:

$\frac{1}{2}$ 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 #9 :How To Find The Decimal Equivalent Of A Fraction

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

Possible Answers:

3.5

Correct answer:

Explanation:

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

$35\div50=.70$

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Example Question #10 :How To Find The Decimal Equivalent Of A Fraction

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

Possible Answers:

7.5

Correct answer:

Explanation:

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

$75\div100=.75$

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All ISEE Lower Level Quantitative Resources

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ISEE Lower Level Quantitative : How to find the decimal equivalent of a fraction

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

All ISEE Lower Level Quantitative Resources

Example Questions

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

Example Question #2 :How To Find The Decimal Equivalent Of A Fraction

Example Question #3 :How To Find The Decimal Equivalent Of A Fraction

Example Question #4 :How To Find The Decimal Equivalent Of A Fraction

Example Question #5 :How To Find The Decimal Equivalent Of A Fraction

Example Question #6 :How To Find The Decimal Equivalent Of A Fraction

Example Question #7 :How To Find The Decimal Equivalent Of A Fraction

Example Question #8 :How To Find The Decimal Equivalent Of A Fraction

Example Question #9 :How To Find The Decimal Equivalent Of A Fraction

Example Question #10 :How To Find The Decimal Equivalent Of A Fraction

All ISEE Lower Level Quantitative Resources

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