Chapter 1: Q. 200 (page 53)

Simplify $\frac{8 (9 - 2) - 4 (14 - 9)}{7 (8 - 3) - 3 (16 - 9)}$

Short Answer

Expert verified

On simplifying the given expression, we get

$\frac{8 (9 - 2) - 4 (14 - 9)}{7 (8 - 3) - 3 (16 - 9)} = \frac{18}{7}$

Step by step solution

Step 1. Given information

The given expression is

$\frac{8 (9 - 2) - 4 (14 - 9)}{7 (8 - 3) - 3 (16 - 9)}$

We have to simplify the given expression.

Step 2. Simplify the numerator and denominator

Now,

$\begin{array}{l} \Rightarrow \frac{8 (9 - 2) - 4 (14 - 9)}{7 (8 - 3) - 3 (16 - 9)} = \frac{8 (7) - 4 (5)}{7 (5) - 3 (7)} \\ = \frac{56 - 20}{35 - 21} \\ = \frac{36}{14} \end{array}$

Step 3. Simplify the fraction

$\begin{array}{l} \Rightarrow \frac{8 (9 - 2) - 4 (14 - 9)}{7 (8 - 3) - 3 (16 - 9)} = \frac{36}{14} \\ = \frac{2 \times 18}{2 \times 7} \\ = \frac{18}{7} \end{array}$

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Simplify $\frac{8 (9 - 2) - 4 (14 - 9)}{7 (8 - 3) - 3 (16 - 9)}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify the numerator and denominator

Step 3. Simplify the fraction

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Simplify8(9-2)-4(14-9)7(8-3)-3(16-9)

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify the numerator and denominator

Step 3. Simplify the fraction

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Applied Mathematics

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Statistics

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Study anywhere. Anytime. Across all devices.

Simplify $\frac{8 (9 - 2) - 4 (14 - 9)}{7 (8 - 3) - 3 (16 - 9)}$