Question

Divide. Express your answer in simplest form.
2 1/2 divided by 2 1/6

Answer 1

15/13

Explanation:

Convert to improper fractions: 5/2 divided by 13/6

Multiply the first term by reciprocal: 5/2 * 6/13 = 30/26

Simplify: 30/26 can become 15/13

Answer 2

`= 2 (1)/(2) / 2 (1)/(6)`

`= (5)/(2) / (13)/(6)`

`= (5)/(2) * (6)/(13)`

`= (30)/(26)`

`= (30 / 2)/(26 / 2)`

`= (15)/(13)`

`\color{hotpink} = 1 (2)/(13)`

`\therefore\color{olive}2 (1)/(2) / 2 (1)/(6) = \color{hotpink} (15)/(13)\color{olive} (or) \color{hotpink}1(2)/(3)`