How to divide fractions - ACT Math

Card 0 of 4

Question

$\dpi{100} \small \frac{1}{3}\div \frac{3}{5} =$

Answer

Cross multiply or multiply using the reciprocal of the second fraction.

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Question

Simplify the following expression:

$\frac{2}{3}\div\frac{5}{6}$

Answer

$\frac{2}{3}\div\frac{5}{6}=\frac{2}{3}\times\frac{6}{5}=\frac{12}{15}=\frac{4}{5}$

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Question

Evaluate the following:

$7\frac{1}{3}\div6\frac{2}{3}$

Answer

Start by converting 71/3 to 22/3, and 6 2/3 to 20/3. We then multiply 22/3 by the reciprocal of 20/3, 3/20, and you get 66/60. This simplifies to 11/10.

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Question

Solve.

$\small \frac{2}{5}\div \frac{1}{25}=$

Answer

Remember, to divide a number by a fraction, multiply the number by the reciprocal of the fraction. In this case, $\small \small \frac{2}{5}\div \frac{1}{25}=\frac{2}{5}\times \frac{25}{1}=\frac{50}{5}=10$

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