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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 #56 : How To Multiply Fractions

Multiply the following:

$\frac{2}{3} \cdot 18$

Possible Answers:

Correct answer:

Explanation:

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

So, in the problem

$\frac{2}{3} \cdot 18$

We will first write 18 as a fraction. We know that whole numbers can be written as a fraction over 1. So, we get

$\frac{2}{3} \cdot \frac{18}{1}$

Now, before we multiply, we can simplify to make things easier. The 3 and the 18 can both be divided by 3. We get

$\frac{2}{1} \cdot \frac{6}{1}$

Now, we can multiply straight across. We get

$\frac{2 \cdot 6}{1 \cdot 1}$

$\frac{12}{1}$

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Example Question #57 : How To Multiply Fractions

Multiply the following:

$\frac{7}{8} \cdot \frac{2}{3}$

Possible Answers:

$\frac{9}{11}$

$\frac{2}{3}$

$\frac{9}{24}$

$\frac{7}{12}$

Correct answer:

$\frac{7}{12}$

Explanation:

To multiply fractions, we will multiply the numerators together and the denominators together. We get

$\frac{7}{8} \cdot \frac{2}{3}$

$\frac{7 \cdot 2}{8 \cdot 3}$

$\frac{14}{24}$

$\frac{7}{12}$

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Example Question #58 : How To Multiply Fractions

Multiply the following:

$\frac{7}{8} \cdot \frac{1}{2}$

Possible Answers:

$\frac{3.5}{4}$

$\frac{7}{4}$

$\frac{7}{16}$

$\frac{15}{16}$

$\frac{8}{10}$

Correct answer:

$\frac{7}{16}$

Explanation:

To multiply, we will multiply the numerators together and the denominators together. We get

$\frac{7}{8} \cdot \frac{1}{2}$

$\frac{7 \cdot 1}{8 \cdot 2}$

$\frac{7}{16}$

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Example Question #59 : How To Multiply Fractions

Multiply the following:

$\frac{5}{7} \cdot \frac{1}{2}$

Possible Answers:

$\frac{6}{14}$

$\frac{6}{9}$

$\frac{5}{14}$

$\frac{5}{9}$

$\frac{2}{3}$

Correct answer:

$\frac{5}{14}$

Explanation:

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

$\frac{5}{7} \cdot \frac{1}{2}$

$\frac{5 \cdot 1}{7 \cdot 2}$

$\frac{5}{14}$

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Example Question #60 : How To Multiply Fractions

Multiply the following:

$\frac{7}{9} \cdot \frac{2}{3}$

Possible Answers:

$\frac{14}{27}$

$\frac{16}{24}$

$\frac{18}{21}$

$\frac{2}{3}$

$\frac{14}{28}$

Correct answer:

$\frac{14}{27}$

Explanation:

To multiply fractions, we will multiply straight across. In other words, we will multiply the numerators together, then we will multiply the denominators together. So, we get

$\frac{7}{9} \cdot \frac{2}{3}$

$\frac{7 \cdot 2}{9 \cdot 3}$

$\frac{14}{27}$

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Example Question #61 : How To Multiply Fractions

Solve the following:

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

Possible Answers:

$\frac{3}{8}$

$\frac{1.5}{2}$

$\frac{1.5}{4}$

$\frac{3}{2}$

$\frac{1}{2}$

Correct answer:

$\frac{3}{8}$

Explanation:

To multiply equations, we will multiply the numerators together, then we will multiply the denominators together. So, we get

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

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

$\frac{3}{8}$

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Example Question #62 : How To Multiply Fractions

Multiply the following:

$\frac{2}{7} \cdot \frac{1}{4}$

Possible Answers:

$\frac{3}{11}$

$\frac{1}{14}$

$\frac{3}{28}$

$\frac{13}{28}$

Correct answer:

$\frac{1}{14}$

Explanation:

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

So, we will multiply:

$\frac{2}{7} \cdot \frac{1}{4}$

$\frac{2 \cdot 1}{7 \cdot 4}$

$\frac{2}{28}$

$\frac{1}{14}$

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Example Question #63 : How To Multiply Fractions

Multiply the following:

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

Possible Answers:

$\frac{4}{5}$

$\frac{4}{9}$

$\frac{2}{3}$

$\frac{2}{9}$

Correct answer:

$\frac{4}{9}$

Explanation:

To multiply fractions, we will multiply the numerators together, then we will multiply the denominators together.

So, we get

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

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

$\frac{4}{9}$

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Example Question #159 : Fractions

Give the result in simplest form:

$\frac{7}{20} - \frac{11}{20} + \frac{9}{20}$

Possible Answers:

$\frac{1}{12}$

$\frac{1}{20}$

$\frac{13}{20}$

$\frac{1}{4}$

$-\frac{13}{20}$

Correct answer:

$\frac{1}{4}$

Explanation:

$\frac{7}{20} - \frac{11}{20} + \frac{9}{20}$

$=\frac{7-11+9}{20}$

$=\frac{-4+9}{20}$

$=\frac{5}{20} =\frac{5\div 5}{20\div 5} = \frac{1}{4}$

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Example Question #391 : Numbers And Operations

Evaluate:

9 - 6.36

Possible Answers:

3.64

6.27

2.64

2.36

3.36

Correct answer:

2.64

Explanation:

Subtract vertically, appending the 9 with a decimal point and two placeholder zeroes first.

9.00

$\underline{6.36}$

2.64

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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 #56 : How To Multiply Fractions

Example Question #57 : How To Multiply Fractions

Example Question #58 : How To Multiply Fractions

Example Question #59 : How To Multiply Fractions

Example Question #60 : How To Multiply Fractions

Example Question #61 : How To Multiply Fractions

Example Question #62 : How To Multiply Fractions

Example Question #63 : How To Multiply Fractions

Example Question #159 : Fractions

Example Question #391 : Numbers And Operations

All ISEE Middle Level Math Resources

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