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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

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #9 : Understand Decimal Notation For Fractions, And Compare Decimal Fractions

$\frac{10}{10}=\frac{?}{100}$

Possible Answers:

100

Correct answer:

100

Explanation:

To find equivalent fractions, we must always multiply the denominator and the numerator by the same number.

$100\div10=10$ , so we need to multiply the numerator by .

$10\times10=100$

$\frac{10}{10}=\frac{100}{100}$

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Example Question #1091 : Numbers And Operations

$\frac{11}{10}=\frac{?}{100}$

Possible Answers:

110

111

114

121

120

Correct answer:

110

Explanation:

To find equivalent fractions, we must always multiply the denominator and the numerator by the same number.

$100\div10=10$ , so we need to multiply the numerator by .

$11\times10=110$

$\frac{11}{10}=\frac{110}{100}$

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Example Question #1092 : Numbers And Operations

$\frac{12}{10}=\frac{?}{100}$

Possible Answers:

110

120

Correct answer:

120

Explanation:

To find equivalent fractions, we must always multiply the denominator and the numerator by the same number.

$100\div10=10$ , so we need to multiply the numerator by .

$12\times10=120$

$\frac{12}{10}=\frac{120}{100}$

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Example Question #1091 : Numbers And Operations

$\frac{4}{3}\times\frac{5}{11}=$

Possible Answers:

$\frac{660}{33}$

$\frac{44}{15}$

$\frac{20}{33}$

$\frac{59}{33}$

$\frac{15}{44}$

Correct answer:

$\frac{20}{33}$

Explanation:

In order to multiply fractions you simply multiply the numerators together to get the new numerator and multiply the denominators together to get the new denominator. Also simplify fractions in lowest terms when need be.

$\frac{4}{3}\times\frac{5}{11}=\frac{4\cdot 5}{3\cdot 11}=\frac{20}{33}$

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Example Question #1892 : Numbers And Operations

$\frac{5}{9}\times \frac{6}{13}$

Possible Answers:

$\frac{8}{7}$

$\frac{10}{39}$

$\frac{45}{123}$

$\frac{9}{11}$

$\frac{1}{2}$

Correct answer:

$\frac{10}{39}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\frac{5}{9}\times \frac{6}{13}=\frac{30}{117}$

$\frac{30}{117}$ can be reduced to $\frac{10}{39}$ by dividing both sides by .

$\frac{30}{117}\frac{\div}{\div}\frac{3}{3}=\frac{10}{39}$

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Example Question #1095 : Numbers And Operations

$\textup{Multiply: }\frac{6}{10}\times\frac{9}{12}$

Possible Answers:

$\frac{69}{1012}$

$\frac{72}{90}$

$\frac{9}{20}$

$\frac{90}{72}$

Correct answer:

$\frac{9}{20}$

Explanation:

$\textup{Multiply: }\frac{6}{10}\times\frac{9}{12}$

Before multiplying we want to reduce both fractions so we will have smaller numbers which are easier to multiply.

For the 6/10 , both the top and bottom will reduce by a factor of 2.

For the 9/12, both the top and bottom will reduce by a factor of 3.

$\textup{Multiply: }\frac{3}{5}\times\frac{3}{4}$

To multiply, we multiply the two numerators (tops) and the two denominators (bottoms).

$\frac{3\times 3}{5\times 4}=\frac{9}{20}$

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Example Question #1 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

$3\times\frac{1}{3}$

Possible Answers:

$\frac{3}{3}=1$

$\frac{4}{3}=1\frac{1}{3}$

$\frac{1}{3}$

$\frac{5}{3}=1\frac{2}{3}$

$\frac{2}{3}$

Correct answer:

$\frac{3}{3}=1$

Explanation:

$3\times\frac{1}{3}$ means the same thing as adding $\frac{1}{3}$ three times.

On our number line, we can make jumps of $\frac{1}{3}$

3 3 number line

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Example Question #1 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

$4\times\frac{1}{3}=$

Possible Answers:

$\frac{1}{3}$

$\frac{4}{3}=1\frac{1}{3}$

$\frac{6}{3}=2$

$\frac{2}{3}$

$\frac{5}{3}=1\frac{2}{3}$

Correct answer:

$\frac{4}{3}=1\frac{1}{3}$

Explanation:

$4\times\frac{1}{3}$ means the same thing as adding $\frac{1}{3}$ four times.

On our number line, we can make jumps of $\frac{1}{3}$

4 3 number line

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Example Question #1 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

$7\times\frac{1}{3}=$

Possible Answers:

$\frac{2}{3}$

$\frac{1}{3}$

$\frac{6}{3}=2$

$\frac{7}{3}=2\frac{1}{3}$

$\frac{5}{3}=1\frac{2}{3}$

Correct answer:

$\frac{7}{3}=2\frac{1}{3}$

Explanation:

$7\times\frac{1}{3}$ means the same thing as adding $\frac{1}{3}$ seven times.

On our number line, we can make jumps of $\frac{1}{3}$

7 3 number line

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Example Question #3 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

$3\times\frac{1}{4}=$

Possible Answers:

$\frac{1}{4}$

$\frac{5}{4}=1\frac{1}{4}$

$\frac{3}{4}$

$\frac{6}{4}=1\frac{2}{4}$

$\frac{2}{4}$

Correct answer:

$\frac{3}{4}$

Explanation:

$3\times\frac{1}{4}$ means the same thing as adding $\frac{1}{4}$ three times.

On our number line, we can make jumps of $\frac{1}{4}$

3 4 number line

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All SSAT Middle Level Math Resources

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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 #9 : Understand Decimal Notation For Fractions, And Compare Decimal Fractions

Example Question #1091 : Numbers And Operations

Example Question #1092 : Numbers And Operations

Example Question #1091 : Numbers And Operations

Example Question #1892 : Numbers And Operations

Example Question #1095 : Numbers And Operations

Example Question #1 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #1 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #1 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

Example Question #3 : Understand A Fraction A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4a

All SSAT Middle Level Math Resources

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