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

6/10
3/5
3
5/15

1 answer

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

The reciprocal of 2/10 is 10/2, which simplifies to 5.

So, 3/5 ÷ 2/10 is equal to 3/5 multiplied by 5/2.

Multiplying the numerators (3 * 5) and the denominators (5 * 2) gives us 15/10.

The fraction 15/10 can be simplified by dividing the numerator and the denominator by their greatest common divisor, which is 5.

Dividing 15/5 and 10/5 gives us 3/2.

Therefore, 3/5 ÷ 2/10 in simplest form is 3/2.