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ISEE Middle Level Math : Fractions

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Example Questions

Example Question #81 : Fractions

Find the equivalent of $\frac{30}{120}$ $\displaystyle \frac{30}{120}$ .

Possible Answers:

0.25 $\displaystyle 0.25$

0.50 $\displaystyle 0.50$

0.75 $\displaystyle 0.75$

0.40 $\displaystyle 0.40$

0.30 $\displaystyle 0.30$

Correct answer:

0.25 $\displaystyle 0.25$

Explanation:

To solve divide:

$30\div 120=0.25$ $\displaystyle 30\div 120=0.25$

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

$\frac{30}{120}=\frac{30\div30}{120\div30}=\frac{1}{4}$ $\displaystyle \frac{30}{120}=\frac{30\div30}{120\div30}=\frac{1}{4}$

We can then convert so that the denominator is a multiple of ten.

$\frac{1}{4}=\frac{1\times25}{4\times25}=\frac{25}{100}$ $\displaystyle \frac{1}{4}=\frac{1\times25}{4\times25}=\frac{25}{100}$

Twenty-five over one hundred, or twenty-five-hundredths, is equal to 0.25 $\displaystyle 0.25$ .

Answer: 0.25 $\displaystyle 0.25$

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Example Question #231 : Numbers And Operations

Find the decimal equivalent of $\frac{36}{72}$ $\displaystyle \frac{36}{72}$ .

Possible Answers:

0.36 $\displaystyle 0.36$

0.72 $\displaystyle 0.72$

0.50 $\displaystyle 0.50$

0.25 $\displaystyle 0.25$

0.42 $\displaystyle 0.42$

Correct answer:

0.50 $\displaystyle 0.50$

Explanation:

To solve divide:

$36\div 72=0.50$ $\displaystyle 36\div 72=0.50$

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

$\frac{36}{72}=\frac{36\div36}{72\div36}=\frac{1}{2}$ $\displaystyle \frac{36}{72}=\frac{36\div36}{72\div36}=\frac{1}{2}$

We can then convert so that the denominator is a multiple of ten.

$\frac{1}{2}=\frac{1\times5}{2\times5}=\frac{5}{10}$ $\displaystyle \frac{1}{2}=\frac{1\times5}{2\times5}=\frac{5}{10}$

Five over ten, or five-tenths, is equal to 0.50 $\displaystyle 0.50$ .

Answer: 0.50 $\displaystyle 0.50$

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Example Question #1116 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Solve for $\displaystyle x$ :

11x=781 $\displaystyle 11x=781$

Possible Answers:

$\displaystyle 75$

$\displaystyle 71$

$\displaystyle 63$

$\displaystyle 79$

$\displaystyle 70$

Correct answer:

$\displaystyle 71$

Explanation:

To solve divide each side by $\displaystyle 11$ :

$11x\div 11=781\div 11$ $\displaystyle 11x\div 11=781\div 11$

x=71 $\displaystyle x=71$

Answer: $\displaystyle 71$

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Example Question #1117 : Isee Middle Level (Grades 7 8) Mathematics Achievement

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

Possible Answers:

0.54 $\displaystyle 0.54$

0.45 $\displaystyle 0.45$

0.60 $\displaystyle 0.60$

0.90 $\displaystyle 0.90$

0.75 $\displaystyle 0.75$

Correct answer:

0.60 $\displaystyle 0.60$

Explanation:

Divide:

$54\div 90=0.60$ $\displaystyle 54\div 90=0.60$

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

$\frac{54}{90}=\frac{54\div9}{90\div9}=\frac{6}{10}$ $\displaystyle \frac{54}{90}=\frac{54\div9}{90\div9}=\frac{6}{10}$

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

Answer: 0.60 $\displaystyle 0.60$

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Example Question #232 : Numbers And Operations

What is the decimal equivalent of $\frac{81}{90}$ $\displaystyle \frac{81}{90}$ ?

Possible Answers:

0.50 $\displaystyle 0.50$

0.81 $\displaystyle 0.81$

0.90 $\displaystyle 0.90$

0.75 $\displaystyle 0.75$

0.70 $\displaystyle 0.70$

Correct answer:

0.90 $\displaystyle 0.90$

Explanation:

Divide:

$81\div 90=0.90$ $\displaystyle 81\div 90=0.90$

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

$\frac{81}{90}=\frac{81\div9}{90\div9}=\frac{9}{10}$ $\displaystyle \frac{81}{90}=\frac{81\div9}{90\div9}=\frac{9}{10}$

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

Answer: 0.90 $\displaystyle 0.90$

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Example Question #233 : Numbers And Operations

What is the decimal equivalent of $\frac{8}{50}$ $\displaystyle \frac{8}{50}$ ?

Possible Answers:

0.016 $\displaystyle 0.016$

0.08 $\displaystyle 0.08$

0.16 $\displaystyle 0.16$

0.12 $\displaystyle 0.12$

0.80 $\displaystyle 0.80$

Correct answer:

0.16 $\displaystyle 0.16$

Explanation:

Divide:

$8\div 50=.16$ $\displaystyle 8\div 50=.16$

Another way to solve is to alter the fraction to get one hundred in the denominator.

$\frac{8}{50}=\frac{8\times2}{50\times2}=\frac{16}{100}$ $\displaystyle \frac{8}{50}=\frac{8\times2}{50\times2}=\frac{16}{100}$

Sixteen over one hundred, or sixteen-hundredths, is equal to 0.16 $\displaystyle 0.16$ .

Answer: 0.16 $\displaystyle 0.16$

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Example Question #81 : Fractions

What is the decimal equivalent of $\frac{8}{8}$ $\displaystyle \frac{8}{8}$ ?

Possible Answers:

0.10 $\displaystyle 0.10$

8.8 $\displaystyle 8.8$

1.0 $\displaystyle 1.0$

None of these

8.0 $\displaystyle 8.0$

Correct answer:

1.0 $\displaystyle 1.0$

Explanation:

Divide:

$8\div 8=1.0$ $\displaystyle 8\div 8=1.0$

Any fraction that has an equal numerator and denominator is equal to 1.0 $\displaystyle 1.0$ .

Answer: 1.0 $\displaystyle 1.0$

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Example Question #235 : Numbers And Operations

What is the decimal equivalent of $\frac{150}{100}$ $\displaystyle \frac{150}{100}$ ?

Possible Answers:

0.15 $\displaystyle 0.15$

None of these

150 $\displaystyle 150$

$\displaystyle 15$

1.5 $\displaystyle 1.5$

Correct answer:

1.5 $\displaystyle 1.5$

Explanation:

Divide:

$150\div 100=1.5$ $\displaystyle 150\div 100=1.5$

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

$\frac{150}{100}=\frac{150\div50}{150\div50}=\frac{3}{2}$ $\displaystyle \frac{150}{100}=\frac{150\div50}{150\div50}=\frac{3}{2}$

Three over two, or three-halves, is equal to 1.5 $\displaystyle 1.5$ .

Answer: 1.5 $\displaystyle 1.5$

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Example Question #236 : Numbers And Operations

Solve:

$\sqrt{36}\div \sqrt{16}=$ $\displaystyle \sqrt{36}\div \sqrt{16}=$

Possible Answers:

1.25 $\displaystyle 1.25$

0.5 $\displaystyle 0.5$

$\displaystyle 15$

$\displaystyle 2$

1.5 $\displaystyle 1.5$

Correct answer:

1.5 $\displaystyle 1.5$

Explanation:

First find the individual square roots:

$\sqrt{36}=6$ $\displaystyle \sqrt{36}=6$

$\sqrt{16}=4$ $\displaystyle \sqrt{16}=4$

$\sqrt{36}\div \sqrt{16}=6\div4$ $\displaystyle \sqrt{36}\div \sqrt{16}=6\div4$

Then solve:

$6\div 4=1.5$ $\displaystyle 6\div 4=1.5$

Answer: 1.5 $\displaystyle 1.5$

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Example Question #82 : Fractions

What is the decimal equivalent of $\frac{3}{10}$ $\displaystyle \frac{3}{10}$ ?

Possible Answers:

0.70 $\displaystyle 0.70$

0.03 $\displaystyle 0.03$

0.65 $\displaystyle 0.65$

0.30 $\displaystyle 0.30$

0.45 $\displaystyle 0.45$

Correct answer:

0.30 $\displaystyle 0.30$

Explanation:

To solve, divide:

$3\div 10=0.30$ $\displaystyle 3\div 10=0.30$

Answer: 0.30 $\displaystyle 0.30$

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All ISEE Middle Level Math Resources

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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 #81 : Fractions

Example Question #231 : Numbers And Operations

Example Question #1116 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1117 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #232 : Numbers And Operations

Example Question #233 : Numbers And Operations

Example Question #81 : Fractions

Example Question #235 : Numbers And Operations

Example Question #236 : Numbers And Operations

Example Question #82 : Fractions

All ISEE Middle Level Math Resources

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