Chapter 1: Q. 209 (page 53)

Simplify $- \frac{3}{8} \div (- \frac{3}{10})$

Short Answer

Expert verified

On simplifying the given expression, we get

$- \frac{3}{8} \div (- \frac{3}{10}) = \frac{5}{4}$

Step by step solution

Step 1. Given information

$\begin{array}{l} Theexpressiongivenis \\ - \frac{3}{8} \div (- \frac{3}{10}) \\ Wehavetosimplifythegivenexpression. \end{array}$

Step 2. Rewrite the expression

$\begin{array}{l} Todivide,multiplythefirstfractionbythereciprocalofthesecond. \\ \Rightarrow - \frac{3}{8} \div (- \frac{3}{10}) = - \frac{3}{8} \times (- \frac{10}{3}) \\ Determinethesignoftheproduct,andthenmultiply \\ \Rightarrow - \frac{3}{8} \div (- \frac{3}{10}) = \frac{3 \times 10}{8 \times 3} [Signofproduct, (-) (-) = (+)] \\ \Rightarrow - \frac{3}{8} \div (- \frac{3}{10}) = \frac{30}{24} \end{array}$

Step 3. Simplify the fraction

$\begin{array}{l} \Rightarrow - \frac{3}{8} \div (- \frac{3}{10}) = \frac{30}{24} \\ \Rightarrow - \frac{3}{8} \div (- \frac{3}{10}) = \frac{6 \times 5}{6 \times 4} \\ \Rightarrow - \frac{3}{8} \div (- \frac{3}{10}) = \frac{5}{4} \end{array}$

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Simplify $- \frac{3}{8} \div (- \frac{3}{10})$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Rewrite the expression

Step 3. Simplify the fraction

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Simplify-38÷-310

Short Answer

Step by step solution

Step 1. Given information

Step 2. Rewrite the expression

Step 3. Simplify the fraction

One App. One Place for Learning.

Most popular questions from this chapter

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Simplify $- \frac{3}{8} \div (- \frac{3}{10})$