Question

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

Answer 1

Answer:

15/13

Step-by-step 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

$= 2 \frac{1}{2} \div 2 \frac{1}{6}$

$= \frac{5}{2} \div \frac{13}{6}$

$= \frac{5}{2} \times \frac{6}{13}$

$= \frac{30}{26}$

$= \frac{30 \div 2}{26 \div 2}$

$= \frac{15}{13}$

$\color{hotpink} = 1 \frac{2}{13}$

$\therefore\color{olive}2 \frac{1}{2} \div 2 \frac{1}{6} = \color{hotpink} \frac{15}{13}\color{olive} (or) \color{hotpink}1\frac{2}{3}$