Question

the fully simplified form of 2ab÷(8a) is:
A) $\frac{2ab}{8a}$ B) $\frac{4}{b}$ C) $\frac{b}{4}$ D) 4b E) 4a

Answer 1

Answer:

b/4

Step-by-step explanation:

After rewriting the quotient as a fraction,

$\dfrac{2ab}{8a}$

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

$\dfrac{1\cdot2a\cdot b}{4\cdot2a}=\dfrac{1\cdot b}{4}=b/4$