Question

How do you multiply `\frac { 3} { 16} \cdot \frac { 8} { 39}`?

Answer 1

See a solution process below:

Explanation:

First, we can factor common terms in these two fractions:

`(color(blue)(cancel(color(black)(3)))1)/(color(red)(cancel(color(black)(16)))2) * (color(red)(cancel(color(black)(8)))1)/(color(blue)(cancel(color(black)(39)))13) => 1/2 * 1/13`

To multiply two fractions you multiply the two denominators over the two numerators:

`1/2 * 1/13 => (1 * 1)/(2 * 13) => 1/26`