Question

Find the quotient.

5 over 7 divided by 7 over 10

Answer 1

Answer:

$\frac{5}{7}\div \frac{7}{10}=\frac{50}{49}$

Step-by-step explanation:

$\frac{5}{7}\div \frac{7}{10}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}$

$=\frac{5}{7}\times \frac{10}{7}$

$\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}$

$=\frac{5\times \:10}{7\times \:7}$

$\mathrm{Multiply\:the\:numbers:}\:5\times \:10=50$

$=\frac{50}{7\times \:7}$

$\mathrm{Multiply\:the\:numbers:}\:7\times \:7=49$

$=\frac{50}{49}$

Therefore,

• $\frac{5}{7}\div \frac{7}{10}=\frac{50}{49}$