Chapter 1: Q. 223 (page 54)

Simplify $12 (\frac{9}{20} - \frac{4}{15})$

Short Answer

Expert verified

On simplifying the given expression, we get

$12 (\frac{9}{20} - \frac{4}{15}) = \frac{11}{5}$

Step by step solution

Step 1. Given information

$\begin{array}{l} Thegivenexpressionis \\ 12 (\frac{9}{20} - \frac{4}{15}) \\ Wehavetosimplifythegivenexpression. \end{array}$

Step 2. Solve the bracket

$\begin{array}{l} \Rightarrow 12 (\frac{9}{20} - \frac{4}{15}) = 12 (\frac{9 \times 15 - 4 \times 20}{20 \times 15}) \\ \Rightarrow 12 (\frac{9}{20} - \frac{4}{15}) = 12 (\frac{135 - 80}{300}) \\ \Rightarrow 12 (\frac{9}{20} - \frac{4}{15}) = 12 (\frac{55}{300}) \\ \Rightarrow 12 (\frac{9}{20} - \frac{4}{15}) = 12 (\frac{5 \times 11}{5 \times 60}) \\ \Rightarrow 12 (\frac{9}{20} - \frac{4}{15}) = 12 (\frac{11}{60}) \end{array}$

Step 3. Multiply the terms

$\begin{array}{l} \Rightarrow 12 (\frac{9}{20} - \frac{4}{15}) = 12 (\frac{11}{60}) \\ \Rightarrow 12 (\frac{9}{20} - \frac{4}{15}) = 12 \times \frac{11}{12 \times 5} \\ \Rightarrow 12 (\frac{9}{20} - \frac{4}{15}) = \frac{11}{5} \end{array}$

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Simplify $12 (\frac{9}{20} - \frac{4}{15})$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solve the bracket

Step 3. Multiply the terms

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Simplify12920-415

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solve the bracket

Step 3. Multiply the terms

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

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Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Simplify $12 (\frac{9}{20} - \frac{4}{15})$