Question

How do you multiply `4\frac { 1} { 5} \cdot \frac { 2} { 3}`?

Answer 1

See a solution process below:

Explanation:

First, convert the mixed number to an improper fraction:

`4 1/5 = 4 + 1/5 = (5/5 xx 4) + 1/5 = 20/5 + 1/5 = (20 + 1)/5 = 21/5`

We can now multiply the two fractions as:

`21/5 * 2/3 = (color(red)(cancel(color(black)(21)))7)/5 * 2/(color(red)(cancel(color(black)(3)))1) = (7 * 2)/(5 * 1) = 14/5`

If necessary we can convert this answer to a mixed number:

`14/5 = (10 + 4)/5 = 10/5 + 4/5 = 2 + 4/5 = 2 4/5`