How do you multiply $\frac{6}{7} \div \frac{3}{2}$ $6/7 div 3/2$ ?

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How do you multiply $\frac{6}{7} \div \frac{3}{2}$ $6/7 div 3/2$ ?

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Answer 1 · 2016-03-16T11:28:11

$\frac{4}{7}$ $4/7$ As you become more practiced you will considerably reduce the number of steps. You will be able to do a lot of it in your head.

Explanation:

Shortcut method:

Turn the divisor $(\frac{3}{2})$ $(3/2)$ upside down (invert) and then multiply

So we have

$\frac{6}{7} \div \frac{3}{2} = \frac{6}{7} \times \frac{2}{3}$ $6/7-:3/2 " "=" " 6/7xx2/3$

But, when multiplying you are allowed to do this:

$\frac{6}{7} \times \frac{2}{3} = \frac{6}{3} \times \frac{2}{7}$ $color(blue)(6/7) xxcolor(red)(2/3)" "=" "color(blue)(6/(color(red)(3))xx(color(red)(2))/7)$

This gives:

$2 \times \frac{2}{7} = \frac{2}{7} + \frac{2}{7} = \frac{4}{7}$ $2xx2/7" " =" " 2/7+2/7" " =" " 4/7$

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How do you multiply $\frac{6}{7} \div \frac{3}{2}$ $6/7 div 3/2$ ?

1 Answer

Explanation:

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How do you multiply $\frac{6}{7} \div \frac{3}{2}$ $6/7 div 3/2$ ?