Chapter 1: Q. 218 (page 54)

Simplify $\frac{1}{3} + \frac{2}{5} \cdot \frac{3}{4}$

Short Answer

Expert verified

On simplifying the given expression, we get

$\frac{1}{3} + \frac{2}{5} \cdot \frac{3}{4} = \frac{19}{30}$

Step by step solution

Step 1. Given information

$\begin{array}{l} Thegivenexpressionis \\ \frac{1}{3} + \frac{2}{5} \cdot \frac{3}{4} \\ Wehavetosimplifythegivenexpression. \end{array}$

Step 2. Multiply the terms

$\begin{array}{l} \Rightarrow \frac{1}{3} + \frac{2}{5} \cdot \frac{3}{4} = \frac{1}{3} + \frac{2 \times 3}{5 \times 4} \\ \Rightarrow \frac{1}{3} + \frac{2}{5} \cdot \frac{3}{4} = \frac{1}{3} + \frac{6}{20} \end{array}$

Step 3. Simplify the fractions and add the terms

$\begin{array}{l} \Rightarrow \frac{1}{3} + \frac{2}{5} \cdot \frac{3}{4} = \frac{1}{3} + \frac{6}{20} \\ \Rightarrow \frac{1}{3} + \frac{2}{5} \cdot \frac{3}{4} = \frac{1}{3} + \frac{2 \times 3}{2 \times 10} \\ \Rightarrow \frac{1}{3} + \frac{2}{5} \cdot \frac{3}{4} = \frac{1}{3} + \frac{3}{10} \\ \Rightarrow \frac{1}{3} + \frac{2}{5} \cdot \frac{3}{4} = \frac{1 \times 10 + 3 \times 3}{3 \times 10} \\ \Rightarrow \frac{1}{3} + \frac{2}{5} \cdot \frac{3}{4} = \frac{10 + 9}{30} \\ \Rightarrow \frac{1}{3} + \frac{2}{5} \cdot \frac{3}{4} = \frac{19}{30} \end{array}$

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Simplify $\frac{1}{3} + \frac{2}{5} \cdot \frac{3}{4}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Multiply the terms

Step 3. Simplify the fractions and add the terms

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Simplify13+25·34

Short Answer

Step by step solution

Step 1. Given information

Step 2. Multiply the terms

Step 3. Simplify the fractions and add the terms

One App. One Place for Learning.

Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

Simplify $\frac{1}{3} + \frac{2}{5} \cdot \frac{3}{4}$