Question

2 1/3 divided by 2/5

Answer 1

Answer:

$5 \frac{5}{6}$

Step-by-step 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

$\frac{7}{3} \div \frac{2}{5} = \frac{7}{3} \times \frac{5}{2}$

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

$\frac{7 \times 5 = 35}{3 \times 2 =6 \: \: }$

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.

$5 \frac{5}{6}$

The new fraction is 5 5/6.