Question

How do you simplify `\frac{18}{12}\times \frac{14^{2}}{4}`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`(18 xx 14^2)/(12 xx 4) =>`

`(6 xx 3 xx 14 xx 14)/(6 xx 2 xx 2 xx 2) =>`

`(6 xx 3 xx 2 xx 7 xx 2 xx 7)/(6 xx 2 xx 2 xx 2)`

Now, cancel like terms in the numerator and denominator:

`(color(red)(cancel(color(black)(6))) xx 3 xx color(green)(cancel(color(black)(2))) xx 7 xx color(purple)(cancel(color(black)(2))) xx 7)/(color(red)(cancel(color(black)(6))) xx 2 xx color(green)(cancel(color(black)(2))) xx color(purple)(cancel(color(black)(2)))) => (3 xx 7 xx 7)/2 = 147/2`