Question

The fully simplified form of 2ab÷(8a) is:

A)
`(2ab)/(8a)` B)
`(4)/(b)` C)
`(b)/(4)` D) 4b E) 4a

Answer 1

b/4

Explanation:

After rewriting the quotient as a fraction,

`(2ab)/(8a)`

We can look for common factors to reduce it. 8a and 2a both have the common factor 2a, and since 2a = 1 · 2a and 8a = 4 · 2a, we can reduce our fraction down to

`(1\cdot2a\cdot b)/(4\cdot2a)=(1\cdot b)/(4)=b/4`