Chapter 1: Q. 204 (page 53)

Simplify $\frac{{(\frac{3}{4})}^{2}}{{(\frac{5}{8})}^{2}}$

Short Answer

Expert verified

On simplifying the given expression, we get

$\frac{{(\frac{3}{4})}^{2}}{{(\frac{5}{8})}^{2}} = \frac{36}{25}$

Step by step solution

Step 1. Given information

$\begin{array}{l} Theexpressiongivenis \\ \frac{{(\frac{3}{4})}^{2}}{{(\frac{5}{8})}^{2}} \\ Wehavetosimplifythegivenexpression. \end{array}$

Step 2. Simplify the numerator and denominator

$\begin{array}{l} \Rightarrow \frac{{(\frac{3}{4})}^{2}}{{(\frac{5}{8})}^{2}} = \frac{(\frac{3^{2}}{4^{2}})}{(\frac{5^{2}}{8^{2}})} \\ \Rightarrow \frac{{(\frac{3}{4})}^{2}}{{(\frac{5}{8})}^{2}} = \frac{(\frac{9}{16})}{(\frac{25}{64})} \end{array}$

Step 3. Simplify the fraction

$\begin{array}{l} \Rightarrow \frac{{(\frac{3}{4})}^{2}}{{(\frac{5}{8})}^{2}} = \frac{(\frac{9}{16})}{(\frac{25}{64})} \\ \Rightarrow \frac{{(\frac{3}{4})}^{2}}{{(\frac{5}{8})}^{2}} = \frac{9}{16} \times \frac{64}{25} \\ \Rightarrow \frac{{(\frac{3}{4})}^{2}}{{(\frac{5}{8})}^{2}} = \frac{9}{16} \times \frac{16 \times 4}{25} \\ \Rightarrow \frac{{(\frac{3}{4})}^{2}}{{(\frac{5}{8})}^{2}} = \frac{36}{25} \end{array}$

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Simplify $\frac{{(\frac{3}{4})}^{2}}{{(\frac{5}{8})}^{2}}$

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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Simplify342582

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

Theoretical and Mathematical Physics

Probability and Statistics

Mechanics Maths

Applied Mathematics

Decision Maths

Statistics

Study anywhere. Anytime. Across all devices.

Simplify $\frac{{(\frac{3}{4})}^{2}}{{(\frac{5}{8})}^{2}}$