2 1/3÷2/5

Answer 1

To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction.

First, let's convert the mixed number 2 1/3 into an improper fraction:
2 1/3 = (2 * 3 + 1)/3 = 7/3

Next, let's divide the improper fraction (7/3) by the fraction (2/5):
(7/3)/(2/5)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(7/3) * (5/2)

Multiplying the numerators and denominators:
(7 * 5)/(3 * 2) = 35/6

Therefore, 2 1/3 ÷ 2/5 = 35/6 or 5 5/6 in mixed number form.