Basic Arithmetic : Division with Fractions

Study concepts, example questions & explanations for Basic Arithmetic

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Example Questions

Example Question #11 : Division With Fractions

Divide these fractions:

\(\displaystyle \frac{12}{54}\div6\)

Possible Answers:

\(\displaystyle 1\frac{1}{27}\)

\(\displaystyle \frac{1}{27}\)

\(\displaystyle \frac{2}{27}\)

\(\displaystyle \frac{1}{28}\)

Correct answer:

\(\displaystyle \frac{1}{27}\)

Explanation:

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

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

Simplify the fraction to get the final answer:

\(\displaystyle \frac{12}{324}\div \frac{12}{12}=\frac{1}{27}\)

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