Chapter SH, Problem 13OWF

Solution

To simplify the expression $8\frac{1}{2}÷4\frac{1}{4}$ .

  $2$

Given:

The expression, $8\frac{1}{2}÷4\frac{1}{4}$.

Concept Used:

To find the quotient of two fractions, multiply the reciprocal of the second fraction with the first

fraction.

Calculation:

In order to simplify the given expression, rewrite the mixed fraction as improper fractions as shown below

  $8\frac{1}{2}÷4\frac{1}{4}=\frac{17}{2}÷\frac{17}{4}$

Now to simplify the expression, flip the second fraction and multiply with the first fraction. Then, multiply the numerators and denominators together and reduce the fraction as shown below

  $\begin{array}{c}8\frac{1}{2}÷4\frac{1}{4}=\frac{17}{2}÷\frac{17}{4}\\ =\frac{17}{2}\cdot \frac{4}{17}\\ =\frac{17\cdot 4}{2\cdot 17}\\ =\frac{68}{34}\\ =2\end{array}$

Thus, the simplified expression is $2$ .