Question

How do you divide 4/10 by 3/5 ​

Answer 1

2/3

Explanation:

The rule to use here is: To divide by a fraction (such as 3/5), invert the fraction (5/3) and multiply instead.

Applying this rule here, we get

4 5 20

---- * ----- and this reduces to --------- = 2/3

10 3 10(3)

Answer 2

2/3

Explanation:

Simplify the following:

(4/10)/(3/5)

Multiply the numerator by the reciprocal of the denominator, (4/10)/(3/5) = 4/10×5/3:

(4×5)/(10×3)

5/10 = 5/(5×2) = 1/2:

4/(2×3)

4/2 = (2×2)/2 = 2:

Answer: 2/3