Chapter 1: Q. 226 (page 54)

Simplify $\frac{\frac{1}{6} + \frac{3}{10}}{\frac{14}{30}}$

Short Answer

Expert verified

The result on simplifying the expression is

$\frac{\frac{1}{6} + \frac{3}{10}}{\frac{14}{30}} = 1$

Step by step solution

Step 1. Given information

$\begin{array}{l} Thegivenexpressionis \\ \frac{\frac{1}{6} + \frac{3}{10}}{\frac{14}{30}} \\ Wehavetosimplifythegivenexpression. \end{array}$

Step 2. Sove the numerator

The numerator of the given expression is

$\frac{1}{6} + \frac{3}{10}$

Thus,

$\begin{array}{l} \Rightarrow \frac{1}{6} + \frac{3}{10} = \frac{1 \times 5 + 3 \times 3}{30} [TaketheLCM] \\ \Rightarrow \frac{1}{6} + \frac{3}{10} = \frac{5 + 9}{30} \\ \Rightarrow \frac{1}{6} + \frac{3}{10} = \frac{14}{30} \end{array}$

Step 3. Solve the fraction

We have the expression as

$\begin{array}{l} \Rightarrow \frac{\frac{1}{6} + \frac{3}{10}}{\frac{14}{30}} = \frac{(\frac{14}{30})}{\frac{14}{30}} \\ Todivide,multiplythefirstfractionbythereciprocalofthesecond \\ \Rightarrow \frac{\frac{1}{6} + \frac{3}{10}}{\frac{14}{30}} = \frac{(\frac{14}{30})}{\frac{14}{30}} \\ \Rightarrow \frac{\frac{1}{6} + \frac{3}{10}}{\frac{14}{30}} = \frac{14}{30} \times \frac{30}{14} \\ \Rightarrow \frac{\frac{1}{6} + \frac{3}{10}}{\frac{14}{30}} = 1 \end{array}$

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Simplify $\frac{\frac{1}{6} + \frac{3}{10}}{\frac{14}{30}}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Sove the numerator

Step 3. Solve the fraction

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Simplify16+3101430

Short Answer

Step by step solution

Step 1. Given information

Step 2. Sove the numerator

Step 3. Solve the fraction

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

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Logic and Functions

Study anywhere. Anytime. Across all devices.

Simplify $\frac{\frac{1}{6} + \frac{3}{10}}{\frac{14}{30}}$