Question

Divide the sum of 3/2 and 2/3 by their difference

Answer 1

Answer:

13/5

Step-by-step explanation:

To put your question in an equation form:

You are asked to find

$\frac{ \frac{3}{2} + \frac{2}{3}}{ \frac{3}{2} - \frac{2}{3} }$

The LCM of 2 and 3 is 6

$\frac{ \frac{3}{2} + \frac{2}{3}}{ \frac{3}{2} - \frac{2}{3} } = \frac{ \frac{3 \times 3}{2 \times 3} + \frac{2 \times 2}{3 \times 2}}{ \frac{3 \times 3}{2 \times 3} - \frac{2 \times 2}{3 \times 2} } = \frac{ \frac{9}{6} + \frac{4}{6}}{ \frac{9}{6} - \frac{4}{6} } = \frac{13}{5}$

Answer is 13/5

Hope that helps

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