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

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

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Example Questions

Example Question #131 : How To Find The Decimal Equivalent Of A Fraction

Find the equivalent of \(\displaystyle \frac{30}{300}\).

Possible Answers:

 \(\displaystyle 3\)

\(\displaystyle .30\)

\(\displaystyle .01\)

\(\displaystyle .10\)

\(\displaystyle 10\)

Correct answer:

\(\displaystyle .10\)

Explanation:

To solve, divide:

\(\displaystyle 30\div 300=.10\)

Answer: \(\displaystyle .10\)

Example Question #132 : How To Find The Decimal Equivalent Of A Fraction

Find the equivalent of \(\displaystyle \frac{43}{86}\).

Possible Answers:

\(\displaystyle .37\)

\(\displaystyle .50\)

\(\displaystyle .43\)

\(\displaystyle .80\)

 \(\displaystyle 86\)

Correct answer:

\(\displaystyle .50\)

Explanation:

To solve, divide:

\(\displaystyle 43\div 86=.50\)

Answer: \(\displaystyle .50\)

Example Question #133 : How To Find The Decimal Equivalent Of A Fraction

Find the equivalent of \(\displaystyle \frac{20}{40}\).

Possible Answers:

\(\displaystyle .40\)

\(\displaystyle .50\)

\(\displaystyle .20\)

\(\displaystyle .60\)

Correct answer:

\(\displaystyle .50\)

Explanation:

Divide: \(\displaystyle 20\div 40=.50\)

Answer: \(\displaystyle .50\)

Example Question #134 : How To Find The Decimal Equivalent Of A Fraction

Find the equivalent of \(\displaystyle \frac{40}{160}\).

Possible Answers:

\(\displaystyle 25\)

\(\displaystyle .40\)

\(\displaystyle .25\)

\(\displaystyle 2.5\)

Correct answer:

\(\displaystyle .25\)

Explanation:

Divide: \(\displaystyle 40\div 160=.25\)

Answer: \(\displaystyle .25\)

Example Question #135 : How To Find The Decimal Equivalent Of A Fraction

Find the equivalent of \(\displaystyle \frac{18}{90}\).

Possible Answers:

\(\displaystyle .18\)

\(\displaystyle 20\)

\(\displaystyle .20\)

\(\displaystyle .90\)

Correct answer:

\(\displaystyle .20\)

Explanation:

Divide: \(\displaystyle 18\div 90=.20\)

Answer: \(\displaystyle .20\)

Example Question #136 : How To Find The Decimal Equivalent Of A Fraction

Find the equivalent of \(\displaystyle \frac{36}{180}\).

Possible Answers:

\(\displaystyle .18\)

\(\displaystyle 20\)

\(\displaystyle .36\)

\(\displaystyle .20\)

Correct answer:

\(\displaystyle .20\)

Explanation:

Divide: \(\displaystyle 36\div 180=.20\)

Answer: \(\displaystyle .20\)

Example Question #137 : How To Find The Decimal Equivalent Of A Fraction

What is the decimal equivalent of \(\displaystyle \frac{24}{100}\)?

Possible Answers:

 \(\displaystyle 0.45\)

\(\displaystyle 0.42\)

\(\displaystyle 0.24\)

\(\displaystyle 2.4\)

\(\displaystyle 0.20\)

Correct answer:

\(\displaystyle 0.24\)

Explanation:

To solve, divide:

\(\displaystyle 24\div 100=0.24\)

You can also solve by recognizing that twenty-four over one hundred, or twenty-four hundredths, is equal to \(\displaystyle 0.24\).

Answer: \(\displaystyle 0.24\)

Example Question #138 : How To Find The Decimal Equivalent Of A Fraction

What is the decimal equivalent of \(\displaystyle \frac{7}{70}\)?

Possible Answers:

 None of these

\(\displaystyle 0.01\)

\(\displaystyle 0.07\)

\(\displaystyle 0.70\)

\(\displaystyle 0.10\)

Correct answer:

\(\displaystyle 0.10\)

Explanation:

To solve, divide:

\(\displaystyle 7\div 70=0.10\)

Another way to solve is to simplify the fraction by removing a common factor.

\(\displaystyle \frac{7}{70}=\frac{7\div7}{70\div7}=\frac{1}{10}\)

One over ten, or one-tenth, is equal to \(\displaystyle 0.10\).

Answer: \(\displaystyle 0.10\)

Example Question #139 : How To Find The Decimal Equivalent Of A Fraction

What is the decimal equivalent of \(\displaystyle \frac{63}{70}\)?

Possible Answers:

 \(\displaystyle 0.99\)

\(\displaystyle 0.63\)

\(\displaystyle 0.70\)

\(\displaystyle 0.54\)

\(\displaystyle 0.90\)

Correct answer:

\(\displaystyle 0.90\)

Explanation:

To solve, divide:

\(\displaystyle 63\div 70=0.90\)

Another way to solve is to reduce the fraction by removing a common factor.

\(\displaystyle \frac{63}{70}=\frac{63\div7}{70\div7}=\frac{9}{10}\)

Nine over ten, or nine-tenths, is equal to \(\displaystyle 0.90\).

Answer: \(\displaystyle 0.90\)

Example Question #140 : How To Find The Decimal Equivalent Of A Fraction

What is the decimal equivalent of \(\displaystyle \frac{33}{66}\)?

Possible Answers:

\(\displaystyle 0.66\)

\(\displaystyle 0.11\)

\(\displaystyle 0.50\)

\(\displaystyle 0.33\)

 \(\displaystyle 0.20\)

Correct answer:

\(\displaystyle 0.50\)

Explanation:

To solve, divide:

\(\displaystyle 33\div 66=0.50\)

Another way to solve is to reduce the fraction by removing a common factor.

\(\displaystyle \frac{33}{66}=\frac{33\div33}{66\div33}=\frac{1}{2}\)

One half is equal to \(\displaystyle 0.50\).

Answer: \(\displaystyle 0.50\)

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