Question

Perform the indicated operation. 22 6/7 ∙ 1 1/2

Answer 1

Answer:

$34\frac{2}{7}$

Step-by-Step Explanation:

Given:

The expression to simplify

$22\frac{6}{7}\times 1\frac{1}{2}$

Convert the mixed fractions to improper fractions. This gives,

$22\frac{6}{7}=\frac{22\times 7+6}{7}=\frac{160}{7}\\ 1\frac{1}{2}=\frac{1\times 2 + 1}{2}=\frac{3}{2}$

Now, we multiply to simplify.

$\frac{160}{7}\times \frac{3}{2}= \frac{160\times 3}{7\times 2}=\frac{80\times 3}{7}=\frac{240}{7}=34\frac{2}{7}$

Therefore, the product of $22\frac{6}{7}\textrm{ and }1\frac{1}{2}$ is $34\frac{2}{7}$.