Question

Simplify$1-\frac{5}{6}÷\frac{1}{12}$

Short answer

On simplifying the given expression, we get

$1-\frac{5}{6}÷\frac{1}{12}=-9$

Step-by-step solution

Step 1. Given information

$\begin{array}{l}\text{Thegivenexpressionis}\\ 1-\frac{5}{6}÷\frac{1}{12}\\ \text{Wehavetosimplifythegivenexpression.}\end{array}$

Step 2. Perform the division

$\begin{array}{l}\text{Todivide,multiplythefirstfractionbythereciprocalofthesecond}\\ \Rightarrow 1-\frac{5}{6}÷\frac{1}{12}=1-\frac{5}{6}\times \frac{12}{1}\\ \Rightarrow 1-\frac{5}{6}÷\frac{1}{12}=1-\frac{60}{6}\end{array}$

Step 3. Simplify the fractions and subtract

$\begin{array}{l}\Rightarrow 1-\frac{5}{6}÷\frac{1}{12}=1-\frac{60}{6}\\ \Rightarrow 1-\frac{5}{6}÷\frac{1}{12}=1-\frac{\cancel{6}\times 10}{\cancel{6}}\\ \Rightarrow 1-\frac{5}{6}÷\frac{1}{12}=1-10\\ \Rightarrow 1-\frac{5}{6}÷\frac{1}{12}=-9\end{array}$