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Basic Arithmetic : Division with Fractions

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Example Question #21 : Fractions

Divide these fractions:

$\frac{12}{54}\div6$ $\displaystyle \frac{12}{54}\div6$

Possible Answers:

$\frac{2}{27}$ $\displaystyle \frac{2}{27}$

$\frac{1}{28}$ $\displaystyle \frac{1}{28}$

$\frac{1}{27}$ $\displaystyle \frac{1}{27}$

$1\frac{1}{27}$ $\displaystyle 1\frac{1}{27}$

Correct answer:

$\frac{1}{27}$ $\displaystyle \frac{1}{27}$

Explanation:

When dividing fractions, first we need to flip the second fraction. Then multiply the numerators together and multiply the denominators together:

$\frac{12}{54}\div6=\frac{12}{54}*\frac{1}{6}=\frac{12*1}{54*6}=\frac{12}{324}$ $\displaystyle \frac{12}{54}\div6=\frac{12}{54}*\frac{1}{6}=\frac{12*1}{54*6}=\frac{12}{324}$

Simplify the fraction to get the final answer:

$\frac{12}{324}\div \frac{12}{12}=\frac{1}{27}$ $\displaystyle \frac{12}{324}\div \frac{12}{12}=\frac{1}{27}$

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Basic Arithmetic : Division with Fractions

Study concepts, example questions & explanations for Basic Arithmetic

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Example Question #21 : Fractions

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