How do you evaluate $15\div \frac{7}{5}$ ?

Question

1343 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-10-13T02:37:20

$75/7$

When you divide by a number, you can also think of it as multiplying by its reciprocal. For example:

$6*1/2=3$

The reciprocal of $1/2$ is $2$ . So:

$6-:2=3$

With this idea in mind, we can rewrite

$15-:7/5$

as

$15*5/7$

$=75/7 = 10+5/7$

Answer 2 · 2017-10-13T02:42:30

Change division to multiplication by the reciprocal, multiply fractions across.

Dividing by a fraction is the same thing as multiplying by its reciprocal (numerator and denominator switch).

We can express this as 15 times $5/7$ , and for the sake of simplicity, we can write 15 as $15/1$ .

$15/1$ * $5/7$ = $75/7$

We can change $75/7$ to a mixed number by the following:

Final answer: $75/7$ or 10 $5/7$

How do you evaluate 15\div \frac{7}{5}15\div \frac{7}{5}?