ISEE Middle Level Math : Fractions

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

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Example Questions

Example Question #61 : Fractions

What is the decimal equivalent of \(\displaystyle \frac{5}{8}\)?

Possible Answers:

\(\displaystyle 0.80\)

\(\displaystyle 0.58\)

\(\displaystyle 0.625\)

\(\displaystyle 6.25\)

\(\displaystyle 0.50\)

Correct answer:

\(\displaystyle 0.625\)

Explanation:

Divide.

\(\displaystyle 5 \div 8 = 0.625\)

Answer: \(\displaystyle 0.625\)

Example Question #62 : How To Find The Decimal Equivalent Of A Fraction

What is the decimal equivalent of \(\displaystyle \frac{45}{90}\)?

Possible Answers:

\(\displaystyle 0.45\)

\(\displaystyle \frac{1}{2}\)

\(\displaystyle 2\)

\(\displaystyle 0.90\)

\(\displaystyle 0.50\)

Correct answer:

\(\displaystyle 0.50\)

Explanation:

Divide.

\(\displaystyle 45 \div 90 = 0.50\)

Another way to solve is to simplify the fraction by factoring out the common factors.

\(\displaystyle \frac{45}{90}=\frac{45\div9}{90\div9}=\frac{5}{10}\)

\(\displaystyle \frac{5}{10}=\frac{5\div5}{10\div5}=\frac{1}{2}\)

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

Answer: \(\displaystyle 0.50\)

Example Question #62 : How To Find The Decimal Equivalent Of A Fraction

What is the decimal equivalent of \(\displaystyle \frac{3}{5}\)?

Possible Answers:

\(\displaystyle 0.06\)

\(\displaystyle 0.15\)

\(\displaystyle 0.60\)

\(\displaystyle 0.30\)

\(\displaystyle 0.50\)

Correct answer:

\(\displaystyle 0.60\)

Explanation:

Divide.

\(\displaystyle 3\div 5 = 0.60\)

Another way to solve is to multiply and find a denominator that is a multiple of ten.

\(\displaystyle \frac{3}{5}=\frac{3\times2}{5\times2}=\frac{6}{10}\)

Six over ten, or six-tenths, is equal to \(\displaystyle 0.60\).

Answer: \(\displaystyle 0.60\)

Example Question #64 : How To Find The Decimal Equivalent Of A Fraction

What is the decimal equivalent of \(\displaystyle \frac{36}{90}\)?

Possible Answers:

\(\displaystyle 0.15\)

\(\displaystyle 0.80\)

\(\displaystyle 0.40\)

\(\displaystyle 0.36\)

\(\displaystyle 0.50\)

Correct answer:

\(\displaystyle 0.40\)

Explanation:

Divide.

\(\displaystyle 36\div 90=0.40\)

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

\(\displaystyle \frac{36}{90}=\frac{36\div9}{90\div9}=\frac{4}{10}\)

Four over ten, or four-tenths, is equal to \(\displaystyle 0.40\)

Answer: \(\displaystyle 0.40\)

Example Question #62 : How To Find The Decimal Equivalent Of A Fraction

What is the decimal equivalent of \(\displaystyle \frac{54}{90}\)?

Possible Answers:

\(\displaystyle 0.54\)

\(\displaystyle 0.50\)

\(\displaystyle 0.90\)

\(\displaystyle 0.45\)

\(\displaystyle 0.60\)

Correct answer:

\(\displaystyle 0.60\)

Explanation:

Divide.

\(\displaystyle 54\div 90=0.60\)

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

\(\displaystyle \frac{54}{90}=\frac{54\div9}{90\div9}=\frac{6}{10}\)

Six over ten, or six-tenths, is equal to \(\displaystyle 0.60\)

Answer: \(\displaystyle 0.60\)

Example Question #63 : How To Find The Decimal Equivalent Of A Fraction

What is the decimal equivalent of \(\displaystyle \frac{21}{70}\)

Possible Answers:

\(\displaystyle 0.35\)

\(\displaystyle 0.70\)

\(\displaystyle 0.21\)

\(\displaystyle 0.10\)

\(\displaystyle 0.30\)

Correct answer:

\(\displaystyle 0.30\)

Explanation:

Divide.

\(\displaystyle 21\div 70=0.30\)

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

\(\displaystyle \frac{21}{70}=\frac{21\div7}{70\div7}=\frac{3}{10}\)

Three over ten, or three-tenths, is equal to \(\displaystyle 0.30\).

Answer: \(\displaystyle 0.30\)

Example Question #64 : How To Find The Decimal Equivalent Of A Fraction

What is the decimal equivalent of \(\displaystyle \frac{3}{5}\)?

 

 

 

Possible Answers:

\(\displaystyle 0.35\)

\(\displaystyle 0.50\)

\(\displaystyle 0.80\)

\(\displaystyle 0.30\)

\(\displaystyle 0.60\)

Correct answer:

\(\displaystyle 0.60\)

Explanation:

To find the equivalent, divide:

\(\displaystyle 3\div 5=0.60\)

Another way to solve is the muliply in order to get a multiple of ten in the denominator.

\(\displaystyle \frac{3}{5}=\frac{3\times2}{5\times2}=\frac{6}{10}\)

Six over ten, or six-tenths, is equal to \(\displaystyle 0.60\).

Answer: The equivalent is \(\displaystyle 0.60\)

Example Question #211 : Numbers And Operations

What is the decimal equivalent of \(\displaystyle \frac{7}{20}\)?

Possible Answers:

\(\displaystyle 0.70\)

\(\displaystyle 0.07\)

\(\displaystyle 0.20\)

\(\displaystyle 0.11\)

\(\displaystyle 0.35\)

Correct answer:

\(\displaystyle 0.35\)

Explanation:

To find the equivalent, divide: 

\(\displaystyle 7\div 20=0.35\)

Another way to solve is to multiply to get a multiple of ten in the denominator.

\(\displaystyle \frac{7}{20}=\frac{7\times5}{20\times5}=\frac{35}{100}\)

Thirty-five over one hundred, or thirty-five hundredths, is equal to \(\displaystyle 0.35\).

Answer: The equivalent is \(\displaystyle 0.35\).

Example Question #212 : Numbers And Operations

Find the decimal equivalent of \(\displaystyle \frac{18}{60}\).

Possible Answers:

\(\displaystyle 0.20\)

\(\displaystyle 30\)

\(\displaystyle 0.60\)

\(\displaystyle 0.30\)

\(\displaystyle 0.18\)

Correct answer:

\(\displaystyle 0.30\)

Explanation:

To find the equivalent, divide:

\(\displaystyle 18\div 60=0.30\)

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

\(\displaystyle \frac{18}{60}=\frac{18\div6}{60\div6}=\frac{3}{10}\)

Three over ten, or three-tenths, is equal to \(\displaystyle 0.30\).

Answer: The equivalent is \(\displaystyle 0.30\).

Example Question #213 : Numbers And Operations

Find the decimal equivalent of \(\displaystyle \frac{28}{70}\).

Possible Answers:

\(\displaystyle 0.70\)

\(\displaystyle 0.45\)

\(\displaystyle 0.40\)

\(\displaystyle 0.28\)

None of these

Correct answer:

\(\displaystyle 0.40\)

Explanation:

To find the equivalent, divide:

\(\displaystyle 28\div 70=0.40\)

Another way to solve is to try and reduce the fraction by removing the greatest common factor.

\(\displaystyle \frac{28}{70}=\frac{28\div7}{70\div7}=\frac{4}{10}\)

Four over ten, or four-tenths, is equal to \(\displaystyle 0.40\).

Answer: The equivalent is \(\displaystyle 0.40\).

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