# Question #11038

Oct 5, 2016

$3$

#### Explanation:

Consider this question..

There are 30 sweets left in a packet, How many children can each be given 3 sweets?

This is a division... 30 sweets are being shared out into groups of 3.

$30 \div 3 = 10$

The question you are asking is the same type of question, just with different numbers.

$\frac{6}{8}$ is left how many quarters can be cut from it?

$\frac{6}{8} \div \frac{1}{4}$

${\cancel{6}}^{3} / {\cancel{8}}^{\cancel{2}} \times \frac{\cancel{4}}{1} \text{ or } \frac{24}{8}$

=$3$
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This would have been more obvious if:

$\frac{6}{8}$ had been simplified to $\frac{3}{4}$ first!

"How many quarters are there in three-quarters?" 3!

$\frac{3}{4} \div \frac{1}{4}$
=$\frac{3}{4} \times \frac{4}{1}$

=$3$