Question

How do you simplify `\frac{4x}{10}\times \frac{10}{7}`?

Answer 1

`(4x)/7`

Explanation:

When multiplying 2 fractions we can `color(blue)"cancel"` any `color(blue)"common factors"` on the numerators/denominators.

In this question we can cancel the 10's.

`rArr(4x)/cancel(10)^1xxcancel(10)^1/7`

now multiply the values remaining on the numerators/denominators.

`=(4x xx1)/(1xx7)=(4x)/7`