Question

What is -2 1/2 + 1 1/3 in fraction form?

Answer 1

$-2\frac{1}{2} +1\frac{1}{3}=\frac{-1}{6}$

Solution:

Given expression is $-2\frac{1}{2} +1\frac{1}{3}$.

Let us first convert mixed fraction into improper fraction.

$-2\frac{1}{2} +1\frac{1}{3}=\frac{(-2\times 2) +1}{2} +\frac{(1\times 3) + 1}{3}$

              $=\frac{-4 +1}{2} +\frac{3 + 1}{3}$

              $=\frac{-3}{2} +\frac{4}{3}$

Take LCM for the denominators (LCM of 2, 3 = 6) and make the same.

              $=\frac{-3\times3}{2\times3} +\frac{4\times2}{3\times2}$

              $=\frac{-9}{6} +\frac{8}{6}$

              $=\frac{-1}{6}$

$-2\frac{1}{2} +1\frac{1}{3}=\frac{-1}{6}$

Hence the fraction form of $-2\frac{1}{2} +1\frac{1}{3}$ is $\frac{-1}{6}$.