How do you evaluate 15÷75?

2 Answers
Oct 13, 2017

757

Explanation:

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

612=3

The reciprocal of 12 is 2. So:

6÷2=3

With this idea in mind, we can rewrite

15÷75

as

1557

=757=10+57

Oct 13, 2017

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

Explanation:

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

We can express this as 15 times 57, and for the sake of simplicity, we can write 15 as 151.

151 * 57 = 757

We can change 757 to a mixed number by the following:

  • 7 goes into 75 10 times . 10 will be the whole number
  • 7 times 10 is 5 short of 75, so 5 will be the numerator
  • The denominator stays the same, 7

Final answer: 757 or 1057