Question

How do you multiply `\frac { 9} { 14} \cdot \frac { 10} { 27}`?

Answer 1

See a solution process below:

Explanation:

First, factor and cancel common terms in the numerator and denominator:

`9/14 * 10/27 => 9/(2 * 7) * (2 * 5)/(9 * 3) => color(red)(cancel(color(black)(9)))/(color(blue)(cancel(color(black)(2))) * 7) * (color(blue)(cancel(color(black)(2))) * 5)/(color(red)(cancel(color(black)(9)) * 3)) => 1/7 * 5/3`

Now, to multiply fractions we multiply the numerators over the denominators also multiplied:

`1/7 * 5/3 => (1 * 5)/(7 * 3) => 5/21`