Question

What is 2/5 divided by 8/15

Answer 1

$\frac{2}{5} / \frac{8}{15} = \frac{3}{4}$

Answer 2

3/4 is the correct answer. 

This is a division problem, so we need to flip the second fraction. Then we need to multiply the numerator and denominator of the fractions to get the quotient.

When we divide fractions, we have to switch the numerator and denominator of the second fraction. Now our second fraction is 15/8.

Multiply the numerators together, and multiply the denominators together.

The fraction 30/40 is not in lowest terms, so we need to reduce it. List the factors of the numerator and denominator:

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

10 is the largest factor of both 30 and 40, so we need to divide both the numerator and denominator by 10.

Numerator: 30 ÷ 10 = 3

Denominator: 40 ÷ 10 = 4

Write the new fraction:

3/4

Happy studying ^-^