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SSAT Middle Level Math : Fractions

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

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Example Questions

Example Question #811 : Fractions

Stars

Each of the stars in the above diagram is divided into parts with the size and shape, and each star has area 14. Give the area of the shaded region.

Possible Answers:

$64\frac{2}{5}$

$62 \frac{2}{5}$

$58 \frac{3}{5}$

$66 \frac{4}{5}$

Correct answer:

$64\frac{2}{5}$

Explanation:

Four whole stars and three out of five parts of a fifth are shaded - this is $4 \frac{3}{5 }$ stars. Each star has area 14, so the shaded region has area

$4 \frac{3}{5 } \times 14 = \frac{23}{5 } \times \frac{14 }{1} = \frac{322}{5 } = 64 \frac{2}{5}$ .

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Example Question #291 : How To Multiply Fractions

Pentagon

The above pentagon, which is divided into triangles of equal size and shape, has area $47 \frac{1}{2 }$ .

Give the area of the shaded region.

Possible Answers:

Correct answer:

Explanation:

4 out of 5 triangles, or $\frac{4}{5}$ , of the pentagon is shaded in, so the shaded area is

$\frac{4}{5} \times 47 \frac{1}{2 }$

$= \frac{4}{5} \times \frac{47 \times 2 + 1}{2 }$

$= \frac{4}{5} \times \frac{95}{2 }$

Cross-cancelling:

$= \frac{2}{1} \times \frac{19}{1 }$

$= 2 \times 19 = 38$

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Example Question #1111 : Common Core Math: Grade 5

Solve:

$\small \frac{7}{8}\times\frac{1}{3}$

Possible Answers:

$\small \frac{7}{21}$

$\small \frac{4}{5}$

$\small \frac{5}{27}$

$\small \frac{9}{11}$

$\small \frac{7}{24}$

Correct answer:

$\small \frac{7}{24}$

Explanation:

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

$\small \small \frac{7}{8}\times\frac{1}{3}=\frac{7}{24}$

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Example Question #263 : Number & Operations With Fractions

Solve:

$\small \frac{1}{5}\times\frac{1}{8}$

Possible Answers:

$\small \frac{2}{40}$

$\small \frac{1}{40}$

$\small \frac{1}{20}$

$\small \frac{1}{12}$

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

Correct answer:

$\small \frac{1}{40}$

Explanation:

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

$\small \small \frac{1}{5}\times\frac{1}{8}=\frac{1}{40}$

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Example Question #811 : Fractions

Dan collected $\small \frac{1}{4}$ of a bag of leaves. Sean collected $\small 6$ times as many bags as Dan. How many bags did Sean collect?

Possible Answers:

$\small 3$

$\small 2\frac{2}{4}$

$\small 1\frac{1}{2}$

$\small 1$

Correct answer:

$\small 1\frac{1}{2}$

Explanation:

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \frac{6}{1}\times\frac{1}{4}=\frac{6}{4}$

$\small \frac{6}{4}=1\frac{2}{4}$ Because can go into $\small 6$ only $\small 1$ time and $\small \frac{2}{4}$ is left over.

Sean collected $\small 1\frac{2}{4}$ bags of leaves.

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

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Example Question #1292 : Numbers And Operations

Solve the following:

$\frac{1}{8} \cdot \frac{3}{5}$

Possible Answers:

$\frac{4}{40}$

$\frac{3}{40}$

$\frac{4}{13}$

$\frac{3}{13}$

$\frac{29}{40}$

Correct answer:

$\frac{3}{40}$

Explanation:

To multiply fractions, we will multiply the numerator together, then we will multiply the denominators together. So, we get

$\frac{1}{8} \cdot \frac{3}{5}$

$\frac{1 \cdot 3}{8 \cdot 5}$

$\frac{3}{40}$

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Example Question #811 : Fractions

Evaluate:

1.2 + 0.6 (0.5 + 2.3)

Possible Answers:

3.8

5.04

3.08

1.98

2.88

Correct answer:

2.88

Explanation:

By order of operations, perform the rightmost addition (the one within the parentheses) first, the multiplication second. and the leftmost addition last.

$1.2 + 0.6 (0.5 + 2.3) = 1.2 + 0.6 \cdot 2.8 = 1.2 + 1.68 = 2.88$

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Example Question #1 : Multiply A Fraction And A Whole Number By Understanding A Multiple Of A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4b

Select the answer choice that is equal to the following:

$3\times\frac{2}{5}$

Possible Answers:

$5\times\frac{1}{5}$

$6\times\frac{1}{5}$

$4\times\frac{2}{5}$

$5\times\frac{2}{5}$

$3\times\frac{1}{5}$

Correct answer:

$6\times\frac{1}{5}$

Explanation:

When we multiply a whole number by a fraction, we multiply the whole number by the numerator, and the denominator stays the same.

$\frac{3}{1}\times\frac{2}{5}=\frac{6}{5}$

$\frac{6}{1}\times\frac{1}{5}=\frac{6}{5}$

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Example Question #2926 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Solve the following:

$\small \frac{3}{4}\times3$

Possible Answers:

$\small \frac{1}{2}$

$\small \frac{9}{4}$

$\small \frac{3}{4}$

$\small \frac{4}{9}$

$\small \frac{1}{3}$

Correct answer:

$\small \frac{9}{4}$

Explanation:

$\small \frac{3}{4}\times3$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over Then we multiply like normal.

$\small \small \frac{3}{4}\times\frac{3}{1}=\frac{9}{4}$

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Example Question #33 : Operations With Fractions And Whole Numbers

Solve the following:

$\small \frac{1}{3}\times\frac{1}{9}$

Possible Answers:

$\small \frac{1}{6}$

$\small \frac{1}{27}$

$\small \frac{2}{27}$

$\small \frac{1}{28}$

$\small \frac{5}{27}$

Correct answer:

$\small \frac{1}{27}$

Explanation:

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

$\small \small \frac{1}{3}\times\frac{1}{9}=\frac{1}{27}$

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SSAT Middle Level Math : Fractions

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #811 : Fractions

Example Question #291 : How To Multiply Fractions

Example Question #1111 : Common Core Math: Grade 5

Example Question #263 : Number & Operations With Fractions

Example Question #811 : Fractions

Example Question #1292 : Numbers And Operations

Example Question #811 : Fractions

Example Question #1 : Multiply A Fraction And A Whole Number By Understanding A Multiple Of A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4b

Example Question #2926 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Example Question #33 : Operations With Fractions And Whole Numbers

All SSAT Middle Level Math Resources

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