Question

How do you simplify `\frac{7}{8}\times \frac{2}{3}`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the left fraction and then cancel common terms in the numerator and denominator:

`7/8 xx 2/3 => 7/(2 xx 4) xx 2/3 => 7/(color(red)(cancel(color(black)(2))) xx 4) xx color(red)(cancel(color(black)(2)))/3 => 7/4 xx 1/3`

Now, multiply the numerators over the denominators multiplied:

`7/4 xx 1/3 => (7 xx 1)/(4 xx 3) => 7/12`