Chapter 1: Q. 224 (page 54)

Simplify $8 (\frac{15}{16} - \frac{5}{6})$

Short Answer

Expert verified

On simplifying the given expression, we get

$8 (\frac{15}{16} - \frac{5}{6}) = \frac{5}{6}$

Step by step solution

Step 1. Given information

$\begin{array}{l} Thegivenexpressionis \\ 8 (\frac{15}{16} - \frac{5}{6}) \\ Wehavetosimplifythegivenexpression. \end{array}$

Step 2. Solve the bracket

$\begin{array}{l} \Rightarrow 8 (\frac{15}{16} - \frac{5}{6}) = 8 (\frac{15 \times 6 - 5 \times 16}{16 \times 6}) \\ \Rightarrow 8 (\frac{15}{16} - \frac{5}{6}) = 8 (\frac{90 - 80}{96}) \\ \Rightarrow 8 (\frac{15}{16} - \frac{5}{6}) = 8 (\frac{10}{96}) \end{array}$

Step 3. Multiply the terms and simplify

$\begin{array}{l} \Rightarrow 8 (\frac{15}{16} - \frac{5}{6}) = 8 (\frac{10}{96}) \\ \Rightarrow 8 (\frac{15}{16} - \frac{5}{6}) = \frac{8 \times 2 \times 5}{2 \times 8 \times 6} \\ \Rightarrow 8 (\frac{15}{16} - \frac{5}{6}) = \frac{5}{6} \end{array}$

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Simplify $8 (\frac{15}{16} - \frac{5}{6})$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solve the bracket

Step 3. Multiply the terms and simplify

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Simplify81516-56

Short Answer

Step by step solution

Step 1. Given information

Step 2. Solve the bracket

Step 3. Multiply the terms and simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

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Mechanics Maths

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Pure Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

Simplify $8 (\frac{15}{16} - \frac{5}{6})$