Question

2 1/3 divided by 2/5

Answer 1

`5 (5)/(6)`

Explanation:

First let's turn 2 1/3 into an improper fraction. Multiply the whole number by the denominator, and add the product to the numerator.

2 × 3 = 6

6 + 1 = 7

The new fraction is 7/3

`(7)/(3) / (2)/(5) = (7)/(3) * (5)/(2)`

Divide by multiplying the first fraction by the reciprocal of the second fraction. Then multiply straight across.

`(7 * 5 = 35)/(3 * 2 =6 \: \: )`

The product is 35/6

Let's divide 35 ÷ 6 = 5.83

So we know the new whole number is 5.

5 × 6 = 30, 35 - 30 = 5, the new numerator.

`5 (5)/(6)`

The new fraction is 5 5/6.