Question

Simplify$1-\frac{3}{5}÷\frac{1}{10}$

Short answer

On simplifying the given expression, we get

$1-\frac{3}{5}÷\frac{1}{10}=\frac{7}{9}$

Step-by-step solution

Step 1. Given information 

$\begin{array}{l}\text{Thegivenexpressionis}\\ 1-\frac{3}{5}÷\frac{1}{10}\\ \text{Wehavetosimplifythegivenexpression.}\end{array}$

Step 2. Perform the division

$\begin{array}{l}\text{Todivide,multiplythefirstfractionbythereciprocalofthesecond}\\ \Rightarrow 1-\frac{3}{5}÷\frac{1}{10}=1-\frac{3}{5}\times \frac{10}{1}\\ \Rightarrow 1-\frac{3}{5}÷\frac{1}{10}=1-\frac{30}{5}\end{array}$

Step 3. Simplify the fractions and add the terms 

$\begin{array}{l}\Rightarrow 1-\frac{3}{5}÷\frac{1}{10}=1-\frac{30}{5}\\ \Rightarrow 1-\frac{3}{5}÷\frac{1}{10}=1-\frac{\cancel{5}\times 6}{\cancel{5}}\\ \Rightarrow 1-\frac{3}{5}÷\frac{1}{10}=1-6\\ \Rightarrow 1-\frac{3}{5}÷\frac{1}{10}=-5\end{array}$