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# Divide. 1/4÷3= # Divide. 1/4÷3=

Question
Factors and multiples asked 2020-10-26
Divide.
$$\displaystyle\frac{{1}}{{4}}÷{3}=$$

## Answers (1) 2020-10-27

Dividing by a number is the same as multiplying by its reciprocal.

Since the reciprocal of 3 is $$\frac{1}{3}$$, then $$\frac{1}{4}\div 3 = \frac{1}{4}\times \frac{1}{3}$$.
To multiply two fractions, multiply the numerators and multiply the denominators.

Therefore $$\frac{1}{4}\times \frac{1}{3}=\frac{1\times 1}{4\times 3}\ so\ \frac{1}{4}\div 3 = \frac{1}{12}$$

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