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ACT Math : How to multiply fractions

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Example Questions

Example Question #1 : How To Multiply Fractions

What value of $s$ makes the equation $\frac{7}{s}=\frac{8}{10}$ true?

Possible Answers:

$8.75$

$9.25$

$9.5$

$7.5$

$9$

Correct answer:

$8.75$

Explanation:

We can simply cross multiply to obtain $70=8s$ and divide by 8 to solve for $s$ .

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Example Question #2 : How To Multiply Fractions

Simplfiy the following expression;

$\frac{2}{3}\times\frac{6}{8}\times\frac{4}{12}$

Possible Answers:

$\frac{3}{4}$

$\frac{5}{6}$

$\frac{1}{2}$

$\frac{1}{6}$

Correct answer:

$\frac{1}{6}$

Explanation:

Multiply the numerators 2 x 6 x 4 = 48. Then multiply the denominators 3 x 8 x 12 = 288. The answer is 48/288. To simplify, divide both numerator and denominator by 48 to get 1/6.

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Example Question #472 : Arithmetic

Evaluate –3^–2* 2^–3.

Possible Answers:

$\frac{1}{72}$

$-\frac{3}{2}$

$-\frac{1}{72}$

Correct answer:

$\frac{1}{72}$

Explanation:

Because the exponents are negative, we can convert –3^–2to ¹/₉ and 2^–3to ¹/₈. We then multiply straight across the top and the bottom, giving you ¹/₇₂.

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Example Question #4 : How To Multiply Fractions

Simplify the following into one fraction

$\frac{2}{7}\cdot\frac{12}{5}\cdot\frac{25}{6}$

Possible Answers:

$\frac{50}{42}$

$\frac{2}{5}$

$\frac{20}{7}$

$\frac{15}{35}$

$\frac{5}{6}$

Correct answer:

$\frac{20}{7}$

Explanation:

To multiply fractions you multiply the entire numerator and the entire denominator together. However, before we do that we can cancel anything from the denominator with anything in the numerator.

Six cancels with 12

$\frac{2}{7}\cdot\frac{\textbf{12}}{5}\cdot\frac{25}{\textbf{6}}=\frac{2}{7}\cdot\frac{2}{5}\cdot25$

5 cancels with 25

$\frac{2}{7}\cdot\frac{2}{\textbf5}\cdot\textbf{25}=\frac{2}{7}\cdot2\cdot5$

multiply it all out and get

$\frac{20}{7}$

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ACT Math : How to multiply fractions

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #1 : How To Multiply Fractions

Example Question #2 : How To Multiply Fractions

Example Question #472 : Arithmetic

Example Question #4 : How To Multiply Fractions

All ACT Math Resources

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