# How do you evaluate 3/5 \div 4/7?

Apr 14, 2018

$\frac{21}{20}$

#### Explanation:

$\frac{3}{5} \div \frac{4}{7}$

Dividing by a number is the same thing as multiplying it by its reciprocal, or $1$ over the number.

Therefore, this expression can be rewritten as $\frac{3}{5} \cdot \frac{7}{4}$.

Now, we can simplify this:
$\frac{21}{20}$

Hope this helps!

Apr 14, 2018

$\frac{21}{20}$

#### Explanation:

$\text{to evaluate division of fractions}$

• " leave the first fraction"

• " change division to multiplication"

• " invert the second fraction, that is turn it upside down"

$\Rightarrow \frac{3}{5} \div \frac{4}{7}$

$= \frac{3}{5} \times \frac{7}{4}$

$\text{there are no common factors between values on }$
$\text{numerator/denominator}$

$\text{Thus multiply numbers on numerators together and}$
$\text{numbers on denominators together}$

$\Rightarrow \frac{3}{5} \times \frac{7}{4} = \frac{3 \times 7}{5 \times 4} = \frac{21}{20} \leftarrow \textcolor{red}{\text{in simplest form}}$