What is 12/19 divided by 3/7?

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What is 12/19 divided by 3/7?

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Answer 1 · 2016-11-15T10:01:47

$\frac{28}{19}$ $28/19$ or $1 \frac{9}{19}$ $1 9/19$

Explanation:

Dividing by a fraction means multiplying by its multiplicative inverse or reciprocal.

Hence, when $\frac{a}{b}$ $a/b$ is divided by $\frac{c}{d}$ $c/d$ , it is equivalent to multiplying $\frac{a}{b}$ $a/b$ by $\frac{d}{c}$ $d/c$ , as $\frac{d}{c}$ $d/c$ is multiplicative inverse or reciprocal of $\frac{c}{d}$ $c/d$ .

Hence, when we divide $\frac{12}{19}$ $12/19$ by $\frac{3}{7}$ $3/7$ ,

we mean multiplying $\frac{12}{19}$ $12/19$ by $\frac{7}{3}$ $7/3$ and hence

$\frac{12}{19} \div \frac{3}{7} = \frac{12}{19} \times \frac{7}{3}$ $12/19-:3/7=12/19xx7/3$

= $(4cancel12)/19xx7/(1cancel3)$

= $28/19$ or $1 9/19$

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What is 12/19 divided by 3/7?

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