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

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Example Questions

Example Question #21 : Fractions

Write $\frac{25}{16}$ as a decimal.

Possible Answers:

2.0625

0.64

0.8

1.875

1.5625

Correct answer:

1.5625

Explanation:

Divide 25 by 16:

$25 \div 16 = 1.5625$

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Example Question #22 : Fractions

Write 3.25 as an improper fraction in lowest terms.

Possible Answers:

$\frac{325}{100}$

$\frac{3,250}{100}$

$\frac{65}{20}$

$\frac{13}{4}$

$\frac{130}{4}$

Correct answer:

$\frac{13}{4}$

Explanation:

This is three hundred twenty-five one-hundredths; write this as a fraction, then simplify:

$\frac{325}{100} = \frac{325 \div 25}{100\div 25} = \frac{13}{4}$

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Example Question #23 : Fractions

At Creek High School 95% of the students buy their lunch from the snack bar, 4% of the students bring their own lunch and 1% of the students do not eat lunch at school. What is the percent of students who bring their lunch written as a decimal?

Possible Answers:

0.4

0.04

0.95

None of the other answers

0.1

Correct answer:

0.04

Explanation:

Every percent is a ratio of a number to 100 and this ratio can be written in fraction form.

In this case, 4% would be the same as

$\small \fn_cm \frac{4}{100}$ (The percent sign is a hidden denominator of 100)

Using place-value knowledge, the reading of the fraction gives the decimal number format.

$\small \fn_cm \frac{4}{100}$ is read as "four hundredths" which gives the place for the 4 in the decimal number (namely the hundredths place).

0 - there are no ones

0.0 - there are no tenths

0.04 - there are 4 hundredths

The correct answer is

0.04

(read "four hundredths")

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Example Question #23 : Fractions

Find the decimal equivalent for:

$\frac{6}{24}$

Possible Answers:

0.3

0.4

0.2

0.025

0.25

Correct answer:

0.25

Explanation:

To quickly find the decimal equivalent, divide the numerator by the denominator:

$6\div 24=0.25$

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Example Question #24 : Fractions

What fraction of the square is shaded in?

Possible Answers:

$\frac{5}{8}$

$\frac{5}{9}$

$\frac{4}{9}$

$\frac{1}{2}$

$\frac{2}{3}$

Correct answer:

$\frac{4}{9}$

Explanation:

To create a fraction:

$\frac{\textup{shaded squares}}{\textup{total squares}}$

So the answer is:

$\frac{4}{9}$

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Example Question #25 : Fractions

Which of the following is equal to 1/8 ?

Possible Answers:

0.125

0.0625

0.25

0.5

Correct answer:

0.125

Explanation:

Solve using long division. (See diagram.)

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Example Question #26 : Fractions

Convert 0.15 into a simplified fraction.

Possible Answers:

3/20

3/5

1/10

1/15

Correct answer:

3/20

Explanation:

$0.15=\frac{15}{100}=\frac{3}{20}$

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Example Question #24 : Fractions

Write as a decimal:

$\small \frac{9}{12}$

Possible Answers:

$\small .9$

$\small .12$

$\small .75$

$\small .72$

Correct answer:

$\small .75$

Explanation:

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

$\small 9\div12=.75$

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Example Question #422 : Numbers And Operations

What is the decimal equivalent of 5/8 ?

Possible Answers:

0.125

0.58

0.50

0.625

Correct answer:

0.625

Explanation:

To find the decimal equivalent of a fraction, you must divide the numerator by the denominator. In this case, 5 divided by 8 is 0.625.

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Example Question #22 : How To Find The Decimal Equivalent Of A Fraction

Express the mixed number $4\frac{5}{8}$ as a decimal.

Possible Answers:

4.625

4.58

Correct answer:

4.625

Explanation:

In the mixed number $4\frac{5}{8}$ , four is a whole number, and can be represented as 4.0 .

In order to convert a fraction to a decimal, one must divide the numerator, or the top number, by the denominator, or bottom number.

$5\div8=.625$

Therefore, the mixed number can be represented as 4.625

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All ISEE Lower Level Math Resources

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

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #21 : Fractions

Example Question #22 : Fractions

Example Question #23 : Fractions

Example Question #23 : Fractions

Example Question #24 : Fractions

Example Question #25 : Fractions

Example Question #26 : Fractions

Example Question #24 : Fractions

Example Question #422 : Numbers And Operations

Example Question #22 : How To Find The Decimal Equivalent Of A Fraction

All ISEE Lower Level Math Resources

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