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

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Answer 1 · 2017-10-13T02:37:20

$\frac{75}{7}$ $75/7$

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

$6 \cdot \frac{1}{2} = 3$ $6*1/2=3$

The reciprocal of $\frac{1}{2}$ $1/2$ is $2$ $2$ . So:

$6 \div 2 = 3$ $6-:2=3$

With this idea in mind, we can rewrite

$15 \div \frac{7}{5}$ $15-:7/5$

as

$15 \cdot \frac{5}{7}$ $15*5/7$

$= \frac{75}{7} = 10 + \frac{5}{7}$ $=75/7 = 10+5/7$

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 $\frac{5}{7}$ $5/7$ , and for the sake of simplicity, we can write 15 as $\frac{15}{1}$ $15/1$ .

$\frac{15}{1}$ $15/1$ * $\frac{5}{7}$ $5/7$ = $\frac{75}{7}$ $75/7$

We can change $\frac{75}{7}$ $75/7$ to a mixed number by the following:

Final answer: $\frac{75}{7}$ $75/7$ or 10 $\frac{5}{7}$ $5/7$

How do you evaluate 15÷7515\div \frac{7}{5}?