Simplify the complex fraction by using Method I. $$\frac { \frac { 8 a } { 3 b ^ { 2 } } } { \frac { 6 a b } { 5 } }$$
A) $\frac { 20 } { 9 b ^ { 3 } }$
B) $\frac { 4 a } { 5 b ^ { 2 } }$
C) $\frac { 9 b ^ { 3 } } { 20 }$
D) $\frac { 16 a ^ { 2 } } { 5 b }$

Question

Quizplus · Accepted Answer

To simplify the given complex fraction $\frac { \frac { 8 a } { 3 b ^ { 2 } } } { \frac { 6 a b } { 5 } }$, we multiply the numerator and the denominator by the reciprocal of the denominator. This gives us $\frac { 8 a } { 3 b ^ { 2 } } \times \frac { 5 } { 6 a b } = \frac { 40 a } { 18 a b ^ { 3 } }$. Simplifying this, we get $\frac { 20 } { 9 b ^ { 3 } }$.

Simplify the Complex Fraction by Using Method I 8a3b26ab5\frac { \frac { 8 a } { 3 b ^ { 2 } } } { \frac { 6 a b } { 5 } }56ab​3b28a​​

Simplify the Complex Fraction by Using Method I $\frac { \frac { 8 a } { 3 b ^ { 2 } } } { \frac { 6 a b } { 5 } }$