Question

Divide. Write the quotient in simplest form.
3/5 ÷ 2/10

6/10
3/5
3
5/15

Answer 1

To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.

Reciprocal of 2/10 is 10/2.

So, 3/5 ÷ 2/10 = 3/5 * 10/2

Multiply the numerators: 3 * 10 = 30
Multiply the denominators: 5 * 2 = 10

The result is 30/10.

To simplify, we can divide both the numerator and the denominator by their greatest common divisor, which is 10.

30 ÷ 10 = 3
10 ÷ 10 = 1

The simplified quotient is 3/1, which is equivalent to 3.