Question

Simplify: $30a^4{b}^3÷24a^{2}b$

• A. $\frac{5a^2{b}^2}{4}$
• B. $\frac{4a^2{b}^2}{5}$
• C. $\frac{5ab}{4}$
• D. $\frac{5a{b}^2}{4}$

Answer 1

Answer: (A)

$\frac{5a^2{b}^2}{4}$

$30a^4{b}^3÷24a^{2}b=\frac{30a^4{b}^3}{24a^{2}b}$

$=\frac{3\times 2\times 5\times a\times a\times a\times a\times b\times b\times b}{3\times 2\times 2\times 2\times a\times a\times b}$

$=\frac{5a^2{b}^2}{4}$