Chapter SH, Problem 10OWF

Solution

To simplify the expression $6\frac{3}{4}\cdot 5\frac{2}{3}$ .

  $\frac{153}{4}$

Given:

The expression, $6\frac{3}{4}\cdot 5\frac{2}{3}$.

Concept Used:

To find the product of two or more fractions, multiply the numerators and denominators together.

Calculation:

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

  $6\frac{3}{4}\cdot 5\frac{2}{3}=\frac{27}{4}\cdot \frac{17}{3}$

Now, to simplify the fractions, multiply the numerators and denominators together and reduce the fraction as shown below

  $\begin{array}{c}6\frac{3}{4}\cdot 5\frac{2}{3}=\frac{27}{4}\cdot \frac{17}{3}\\ =\frac{27\cdot 17}{4\cdot 3}\\ =\frac{459}{12}\\ =\frac{153}{4}\end{array}$

Thus, the simplified expression is $\frac{153}{4}$ .