Divide. Write your answer in simplest form.

Question

5/8÷ 3/10

Answer 1

To divide fractions, you have to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is obtained by swapping the numerator and the denominator.

So, to divide 5/8 by 3/10, multiply 5/8 by the reciprocal of 3/10.
The reciprocal of 3/10 is 10/3.

Therefore, 5/8 ÷ 3/10 = 5/8 * 10/3.

Now, multiply the numerators together and the denominators together:
(5*10)/(8*3) = 50/24.

The fraction 50/24 can be simplified by finding the greatest common divisor (GCD) of 50 and 24, which is 2.
Dividing both the numerator and denominator by 2:
50/2 ÷ 24/2 = 25/12.

So, 5/8 ÷ 3/10 in simplest form is 25/12.