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ISEE Middle Level Math : Fractions

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Example Questions

Example Question #1 : Fractions

Rewrite $\frac{5}{8}$ $\displaystyle \frac{5}{8}$ as a decimal.

Possible Answers:

0.6 $\displaystyle 0.6$

0.85 $\displaystyle 0.85$

0.58 $\displaystyle 0.58$

0.625 $\displaystyle 0.625$

1.6 $\displaystyle 1.6$

Correct answer:

0.625 $\displaystyle 0.625$

Explanation:

Divide $\displaystyle 5$ by $\displaystyle 8$; the result is 0.625 $\displaystyle 0.625$.

You may also recognize that $\frac{1}{8}$ $\displaystyle \frac{1}{8}$ is equal to 0.125 $\displaystyle 0.125$, and $\frac{5}{8}$ $\displaystyle \frac{5}{8}$ will be equal to $\displaystyle 5$ times this value.

$\frac{5}{8}=5\frac{1}{8}=5(0.125)=0.625$ $\displaystyle \frac{5}{8}=5\frac{1}{8}=5(0.125)=0.625$

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

Write the decimal equivalent of $\frac{3}{500}$ $\displaystyle \frac{3}{500}$.

Possible Answers:

0.0015 $\displaystyle 0.0015$

0.006 $\displaystyle 0.006$

0.00015 $\displaystyle 0.00015$

0.15 $\displaystyle 0.15$

0.0006 $\displaystyle 0.0006$

Correct answer:

0.006 $\displaystyle 0.006$

Explanation:

$\frac{3}{500} = 3 \div 500 = 0.006$ $\displaystyle \frac{3}{500} = 3 \div 500 = 0.006$

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Example Question #3 : Fractions

How do you write 0.125 as a fraction?

Possible Answers:

$\frac{1}{125}$ $\displaystyle \frac{1}{125}$

$\frac{2}{9}$ $\displaystyle \frac{2}{9}$

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

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

$\frac{1}{12}$ $\displaystyle \frac{1}{12}$

Correct answer:

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

Explanation:

$0.125=\frac{125}{1000}=\frac{1}{8}$ $\displaystyle 0.125=\frac{125}{1000}=\frac{1}{8}$

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

Express $\frac{9}{25}$ $\displaystyle \frac{9}{25}$ as a decimal.

Possible Answers:

0.35 $\displaystyle 0.35$

0.33 $\displaystyle 0.33$

0.27 $\displaystyle 0.27$

0.36 $\displaystyle 0.36$

0.45 $\displaystyle 0.45$

Correct answer:

0.36 $\displaystyle 0.36$

Explanation:

Divide the numerator by the denominator:

$9 \div 25 = 0.36$ $\displaystyle 9 \div 25 = 0.36$

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Example Question #5 : Fractions

Express 0.36 as a fraction in simplest form.

Possible Answers:

$\frac{9}{20}$ $\displaystyle \frac{9}{20}$

$\frac{9}{16}$ $\displaystyle \frac{9}{16}$

$\frac{9}{25}$ $\displaystyle \frac{9}{25}$

$\frac{7}{20}$ $\displaystyle \frac{7}{20}$

$\frac{7}{16}$ $\displaystyle \frac{7}{16}$

Correct answer:

$\frac{9}{25}$ $\displaystyle \frac{9}{25}$

Explanation:

Write the expression, without the decimal point (36), over the apporpriate power of 10 (100, since the last digit falls in the hundredths place). Then reduce:

$\frac{36}{100} = \frac{36\div 4}{100\div 4} = \frac{9}{25}$ $\displaystyle \frac{36}{100} = \frac{36\div 4}{100\div 4} = \frac{9}{25}$

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

Which is equivalent to this fraction?

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

Possible Answers:

$\displaystyle .5$

$\displaystyle .6$

$\displaystyle .2$

$\displaystyle .4$

Correct answer:

$\displaystyle .4$

Explanation:

Divide: $\frac{2}{5}= .4$ $\displaystyle \frac{2}{5}= .4$

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Example Question #1 : Fractions

Write as a decimal: $\frac{17}{45}$ $\displaystyle \frac{17}{45}$

Possible Answers:

$0.3\overline{7}$ $\displaystyle 0.3\overline{7}$

0.378 $\displaystyle 0.378$

0.387 $\displaystyle 0.387$

0.37 $\displaystyle 0.37$

$0.3\overline{8}$ $\displaystyle 0.3\overline{8}$

Correct answer:

$0.3\overline{7}$ $\displaystyle 0.3\overline{7}$

Explanation:

Divide 17 by 45, adding a decimal point and zeroes as needed:

$17 \div 45 = 0.37777...$ $\displaystyle 17 \div 45 = 0.37777...$

The 7 repeats infinitely. The decimal is therefore $0.3\overline{7}$ $\displaystyle 0.3\overline{7}$.

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Example Question #1041 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Write as a fraction in lowest terms: $0.4\overline{8}$ $\displaystyle 0.4\overline{8}$

Possible Answers:

$\frac{24}{49}$ $\displaystyle \frac{24}{49}$

$\frac{4}{9}$ $\displaystyle \frac{4}{9}$

$\frac{12}{25}$ $\displaystyle \frac{12}{25}$

$\frac{22}{45}$ $\displaystyle \frac{22}{45}$

$\frac{16}{33}$ $\displaystyle \frac{16}{33}$

Correct answer:

$\frac{22}{45}$ $\displaystyle \frac{22}{45}$

Explanation:

We can use algebra to find the fraction by setting $N = 0.4\overline{8}$ $\displaystyle N = 0.4\overline{8}$. Then:

$100 \cdot N = 100 \cdot 0.4888...$ $\displaystyle 100 \cdot N = 100 \cdot 0.4888...$

$\displaystyle 100 N = 48.888...$

and

$10 \cdot N = 10 \cdot 0.4888...$ $\displaystyle 10 \cdot N = 10 \cdot 0.4888...$

$\displaystyle 10 N = 4.888...$

Subtract as follows:

$\begin{matrix} \; \; \; 100N& =&48.888... \\ \underline{\; \;- 10N}& =& \underline{ \; \; 4.888...}\\ \; \; \; \; 90N&= & 44\; \; \; \; \; \; \; \; \end{matrix}$ $\displaystyle \begin{matrix} \; \; \; 100N& =&48.888... \\ \underline{\; \;- 10N}& =& \underline{ \; \; 4.888...}\\ \; \; \; \; 90N&= & 44\; \; \; \; \; \; \; \; \end{matrix}$

$90N \div 90= 44\div 90$ $\displaystyle 90N \div 90= 44\div 90$

$N = \frac{44}{90} = \frac{44\div 2}{90\div 2} = \frac{22}{45}$ $\displaystyle N = \frac{44}{90} = \frac{44\div 2}{90\div 2} = \frac{22}{45}$

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

Convert 0.017 into a fraction.

Possible Answers:

17/10 $\displaystyle 17/10$

17/1000 $\displaystyle 17/1000$

$\displaystyle 17/10000$

17/100 $\displaystyle 17/100$

Correct answer:

17/1000 $\displaystyle 17/1000$

Explanation:

0.017 is equal to 17 thousandths (because it extends 3 decimal places), therefore:

$\displaystyle 0.017=17/1000$

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

Write as a decimal: $\frac{13}{75}$ $\displaystyle \frac{13}{75}$

Possible Answers:

$0.\overline{1731}$ $\displaystyle 0.\overline{1731}$

$0.17\overline{3}$ $\displaystyle 0.17\overline{3}$

$0.1\overline{73}$ $\displaystyle 0.1\overline{73}$

$0.\overline{173}$ $\displaystyle 0.\overline{173}$

0.173 $\displaystyle 0.173$

Correct answer:

$0.17\overline{3}$ $\displaystyle 0.17\overline{3}$

Explanation:

Divide 13 by 75, adding a decimal point and zeroes as needed:

$13 \div 75 = 0.17333...$ $\displaystyle 13 \div 75 = 0.17333...$

The 3 repeats infinitely, so we can rewrite this as $0.17\overline{3}$ $\displaystyle 0.17\overline{3}$.

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

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ISEE Middle Level Math : Fractions

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #1 : Fractions

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

Example Question #3 : Fractions

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

Example Question #5 : Fractions

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

Example Question #1 : Fractions

Example Question #1041 : Isee Middle Level (Grades 7 8) Mathematics Achievement

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

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

All ISEE Middle Level Math Resources

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