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SSAT Middle Level Math : Numbers and Operations

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

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All SSAT Middle Level Math Resources

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Example Questions

Example Question #1 : How To Multiply And Divide Fractions

One Australian dollar is equal to about 86 cents. To the nearest whole, for how many Australian dollars can a tourist to Australia expect to exchange $600 in American money?

Possible Answers:

5,160

516

698

Correct answer:

698

Explanation:

One Australian dollar is equivalent to 86 cents, or $0.86, in American money, so divide $600 dollars by this conversion factor. $600 is equivalent to

$600 \div 0.86 \approx 698$ Australian dollars.

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Example Question #1162 : Ssat Middle Level Quantitative (Math)

How many times does $\frac{1}{4}$ go into $\frac{3}{4}$ ?

Possible Answers:

121

Correct answer:

Explanation:

This problem can be solved by dividing $\frac{3}{4}$ by $\frac{1}{4}$ . First, simplify $\frac{3}{4}$ into $\frac{67}{4}$ , then divide by $\frac{1}{4}$ .

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Example Question #501 : Numbers And Operations

Solve:

$\frac{3}{7}\div \frac{1}{5}$

Possible Answers:

$\frac{3}{35}$

$\frac{3}{2}$

$\frac{1}{2}$

$\frac{15}{7}$

Correct answer:

$\frac{15}{7}$

Explanation:

$\frac{3}{7}\div \frac{1}{5}=\frac{3}{7}\times \frac{5}{1}=\frac{15}{7}$

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Example Question #502 : Numbers And Operations

Solve:

$\frac{9}{10}\div \frac{3}{5}=$

Possible Answers:

$\frac{2}{3}$

$\frac{3}{2}$

$\small \frac{6}{5}$

$\frac{5}{6}$

Correct answer:

$\frac{3}{2}$

Explanation:

$\small \frac{9}{10}\div \frac{3}{5}=\frac{9}{10}\times\frac{5}{3}=\frac{45}{30}=\frac{3}{2}$

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Example Question #326 : Concepts

$\frac{7}{49}\div \frac{2}{14}=$

Possible Answers:

$1\frac{3}{4}$

$\frac{2}{94}$

196

Correct answer:

Explanation:

Change division to multiplication by flipping the second fraction. Then, simplify and perform the multiplication.

$\frac{7}{49}\div \frac{2}{14}=$

$\frac{7}{49}\times \frac{14}{2}= \frac{1}{7}\times \frac{7}{1}=\frac{7}{7}=1$

The answer is 1.

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Example Question #327 : Concepts

$12 \frac{4}{6} \div 4\frac{2}{4}=$

Possible Answers:

$1\frac{2}{3}$

$3\frac{1}{3}$

$2\frac{22}{27}$

$2\frac{7}{9}$

$2\frac{20}{27}$

Correct answer:

$2\frac{22}{27}$

Explanation:

First convert each fraction into an improper fraction.

$\frac{76}{6}\div \frac{18}{4}=$

Then flip the second fraction, reduce and multiply:

$\frac{76}{6}\ast \frac{4}{18}=$

The answer is $2\frac{22}{27}$ .

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Example Question #503 : Numbers And Operations

Divide:

$\frac{4}{9}\div \frac{2}{3}$

Possible Answers:

$\frac{4}{}9$

$\frac{2}{3}$

$\frac{3}{4}$

$\frac{7}{}9$

$\frac{1}{}3$

Correct answer:

$\frac{2}{3}$

Explanation:

The first step in dividing fractions is to make the second fraction a reciprocal (flip it) and then rewrite the problem as a multiplication problem: $\left(\frac{4}{9}\times \frac{3}{2}\right)$ .

You can cross-reduce so that the problem now becomes $\left(\frac{2}{3}\times \frac{1}{1}\right)$ . Then, mulitply straight across so that your answer is $\frac{2}{3}$ .

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Example Question #504 : Numbers And Operations

What is the below expression equal to?

$\frac{3}{5}\div \frac{2}{7}$

Possible Answers:

$\frac{21}{10}$

$\frac{10}{21}$

$\frac{1}{2}$

Correct answer:

$\frac{21}{10}$

Explanation:

When one fraction is being divided by another, the latter fraction must be inverted. The numerators are then multiplied by each other, and the denominators are also multiplied by each other.

$\frac{3}{5}\div \frac{2}{7}$

$\frac{3}{5}\cdot \frac{7}{2}=\frac{21}{10}$

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Example Question #329 : Concepts

What is the value of in this equation?

$\frac{9}{5}\div \frac{5}{7}=x$

Possible Answers:

$\frac{63}{25}$

$\frac{7}{9}$

$\frac{25}{63}$

$\frac{9}{7}$

Correct answer:

$\frac{63}{25}$

Explanation:

In order to solve $\frac{9}{5}\div \frac{5}{7}$ , the latter fraction must be inverted and then multiplied by the first fraction, as shown below:

$\frac{9}{5}\cdot \frac{7}{5} = \frac{63}{25}$

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Example Question #1171 : Ssat Middle Level Quantitative (Math)

What is the solution to the expression below?

$\frac{1}{4}\div \frac{9}{17}$

Possible Answers:

$\frac{17}{36}$

$\frac{3}{12}$

$\frac{1}{3}$

$\frac{36}{17}$

Correct answer:

$\frac{17}{36}$

Explanation:

When one fraction is being divided by another, the latter fraction must be inverted. The numerators are then multiplied together, and the denominators are also multiplied by each other.

$\frac{1}{4}\div \frac{9}{17}$

$\frac{1}{4}\div \frac{17}{9}$

$\frac{17}{36}$

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SSAT Middle Level Math : Numbers and Operations

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #1 : How To Multiply And Divide Fractions

Example Question #1162 : Ssat Middle Level Quantitative (Math)

Example Question #501 : Numbers And Operations

Example Question #502 : Numbers And Operations

Example Question #326 : Concepts

Example Question #327 : Concepts

Example Question #503 : Numbers And Operations

Example Question #504 : Numbers And Operations

Example Question #329 : Concepts

Example Question #1171 : Ssat Middle Level Quantitative (Math)

All SSAT Middle Level Math Resources

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