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ISEE Middle Level Math : Numbers and Operations

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

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #21 : How To Multiply Fractions

$\frac{6}{7}*\frac{1}{9}=x?$

Possible Answers:

$\frac{1}{10}$

$\frac{2}{21}$

$\frac{7}{18}$

$\frac{2}{3}$

$\frac{1}{11}$

Correct answer:

$\frac{2}{21}$

Explanation:

To multiply fractions, you must multiple the numerators and denominators.

6*1=6

and

9*7=63 .

Your final answer is $\frac{6}{63}=\frac{3\cdot 2}{3\cdot 21}=\frac{2}{21}$ .

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Example Question #213 : Fractions

Solve for :

$\frac{5}{6}*\frac{3}{4}=x$

Possible Answers:

$\frac{1}{3}$

$\frac{8}{10}$

$\frac{8}{24}$

$\frac{5}{8}$

$\frac{4}{5}$

Correct answer:

$\frac{5}{8}$

Explanation:

To multiply fractions, you multiply the numerators

5*3=15

and multiply the denominators

6*4=24

to get,

$\frac{15}{24}$ .

They each have a common factor of so it reduces down to $\frac{5}{8}$ by dividing each.

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Example Question #22 : How To Multiply Fractions

Multiply the following:

$\frac{2}{3} \cdot \frac{1}{3}$

Possible Answers:

$\frac{3}{3}$

$\frac{3}{6}$

$\frac{2}{3}$

$\frac{1}{3}$

$\frac{2}{9}$

Correct answer:

$\frac{2}{9}$

Explanation:

When multiplying fractions, we will first multiply the numerators, then we will multiply the denominators.

So, given the fractions

$\frac{2}{3} \cdot \frac{1}{3}$

when multiplying, we will get

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

$\frac{2}{3} \cdot \frac{1}{3} = \frac{2}{9}$

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Example Question #1251 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Simplify the following expression:

$\frac{4}{5}*\frac{8}{9}$

Possible Answers:

$\frac{32}{63}$

$\frac{32}{45}$

$\frac{11}{21}$

$\frac{40}{63}$

Correct answer:

$\frac{32}{45}$

Explanation:

Simplify the following expression:

$\frac{4}{5}*\frac{8}{9}$

To multiply fractions, simply multiply across the top and bottom:

$\frac{4}{5}*\frac{8}{9}=\frac{4*8}{5*9}=\frac{32}{45}$

Now, we cannot simplify our answer, so our answer remains:

$\frac{32}{45}$

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Example Question #22 : How To Multiply Fractions

Simplify the following:

$\frac{2}{3} \cdot \frac{4}{5}$

Possible Answers:

$\frac{6}{8}$

$\frac{22}{15}$

$\frac{4}{15}$

$\frac{8}{15}$

$\frac{120}{15}$

Correct answer:

$\frac{8}{15}$

Explanation:

When we multiply fractions, we first multiply the numerators, then we multiply the denominators. We do not need to find common denominators when multiplying. So in

$\frac{2}{3} \cdot \frac{4}{5}$

we will multiply. We get

$\frac{2 \cdot 4}{3 \cdot 5}$

$\frac{8}{15}$

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Example Question #31 : How To Multiply Fractions

Simplify the following:

$\frac{2}{3} \cdot \frac{1}{4}$

Possible Answers:

$\frac{21}{34}$

$\frac{11}{12}$

$\frac{1}{6}$

$\frac{3}{7}$

Correct answer:

$\frac{1}{6}$

Explanation:

To multiply fractions, we will multiply the numerators together, then we will multiply the denominators together. When multiplying, we do NOT need the denominators to be the same. So,

$\frac{2}{3} \cdot \frac{1}{4}$

We will multiply straight across. We get

$\frac{2 \cdot 1}{3 \cdot 4}$

$\frac{2}{12}$

This can be simplified to

$\frac{1}{6}$

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Example Question #31 : How To Multiply Fractions

Multiply the following:

$\frac{4}{5} \cdot \frac{2}{3}$

Possible Answers:

$\frac{4}{5}$

$\frac{8}{15}$

$\frac{22}{15}$

$\frac{6}{8}$

$\frac{10}{12}$

Correct answer:

$\frac{8}{15}$

Explanation:

When multiplying fractions, we will multiply the numerators together, then multiply the denominators together. We do NOT have to find a common denominator. So,

$\frac{4}{5} \cdot \frac{2}{3}$

$\frac{4 \cdot 2}{5 \cdot 3}$

$\frac{8}{15}$

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Example Question #219 : Fractions

Para

The above parallelogram, which has been divided into triangles of equal area, has a total area of 120. What is the area of the shaded region?

Possible Answers:

100

Correct answer:

Explanation:

18 of 24 triangles have been shaded in; this is $\frac{18}{24} = \frac{3}{4}$ of the parallelogram. Since the area of the entire parallelogram is 120, the area of the shaded region is $\frac{3}{4}$ of 120, or

$\frac{3}{4} \times 120 = \frac{360}{4} = 90$ .

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Example Question #220 : Fractions

Hexagon

The above hexagon, which is divided into triangles of equal size, has area 96. What is the area of the shaded region?

Possible Answers:

Correct answer:

Explanation:

7 of the 12 triangles - $\frac{7}{12}$ of the hexagon - is shaded in. Therefore, the area of the shaded region is $\frac{7}{12}$ of 96. or

$\frac{7}{12} \times 96 = \frac{7}{12} \times \frac{96 }{1} = \frac{7}{1} \times \frac{8}{1} = 56$ .

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Example Question #31 : How To Multiply Fractions

Multiply the following:

$\frac{4}{5} \cdot \frac{2}{3}$

Possible Answers:

$\frac{4}{15}$

$\frac{8}{15}$

$\frac{10}{12}$

$\frac{6}{8}$

$\frac{22}{15}$

Correct answer:

$\frac{8}{15}$

Explanation:

When multiplying fractions, we will first multiply the numerators together, then we will multiply the denominators together. Note that we do NOT need to find a common denominator.

Given the fractions

$\frac{4}{5} \cdot \frac{2}{3}$

we will multiply straight across. We get

$\frac{4 \cdot 2}{5 \cdot 3}$

$\frac{8}{15}$

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

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ISEE Middle Level Math : Numbers and Operations

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #21 : How To Multiply Fractions

Example Question #213 : Fractions

Example Question #22 : How To Multiply Fractions

Example Question #1251 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #22 : How To Multiply Fractions

Example Question #31 : How To Multiply Fractions

Example Question #31 : How To Multiply Fractions

Example Question #219 : Fractions

Example Question #220 : Fractions

Example Question #31 : How To Multiply Fractions

All ISEE Middle Level Math Resources

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