Chapter 1: Q. 211 (page 53)

Simplify $- \frac{3}{8} + \frac{5}{12}$

Short Answer

Expert verified

On simplifying the given expression, we get

$- \frac{3}{8} + \frac{5}{12} = \frac{1}{24}$

Step by step solution

Step 1. Given information

$\begin{array}{l} Theexpressiongivenis \\ - \frac{3}{8} + \frac{5}{12} \\ Wehavetosimplifythegivenexpression. \end{array}$

Step 2. Take the LCM

$\begin{array}{l} \Rightarrow - \frac{3}{8} + \frac{5}{12} = \frac{(- 3 \times 12) + (5 \times 8)}{8 \times 12} \\ \Rightarrow - \frac{3}{8} + \frac{5}{12} = \frac{- 36 + 40}{96} \\ \Rightarrow - \frac{3}{8} + \frac{5}{12} = \frac{4}{96} \end{array}$

Step 3. Simplify the fraction

$\begin{array}{l} \Rightarrow - \frac{3}{8} + \frac{5}{12} = \frac{4}{96} \\ \Rightarrow - \frac{3}{8} + \frac{5}{12} = \frac{4}{4 \times 24} \\ \Rightarrow - \frac{3}{8} + \frac{5}{12} = \frac{1}{24} \end{array}$

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Simplify $- \frac{3}{8} + \frac{5}{12}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Take the LCM

Step 3. Simplify the fraction

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Short Answer

Step by step solution

Step 1. Given information

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Simplify $- \frac{3}{8} + \frac{5}{12}$