Multiply.
-$\frac { 4 x } { 8 x + 4 } \cdot \frac { 6 x + 3 } { 5 }$
A) $\frac { 3 } { 5 }$
B) $\frac { x } { 5 }$
C) $\frac { 3 x } { 5 }$
D) $\frac { 3 x } { 20 }$

Question

Quizplus · Accepted Answer

First, simplify the fractions where possible. The first fraction $\frac{4x}{8x+4}$ can be simplified by factoring out a 4 in the denominator, giving $\frac{4x}{4(2x+1)}$, which simplifies to $\frac{x}{2x+1}$. The second fraction $\frac{6x+3}{5}$ can be simplified by factoring out a 3 in the numerator, giving $\frac{3(2x+1)}{5}$. Multiplying the simplified fractions $\frac{x}{2x+1} \cdot \frac{3(2x+1)}{5}$ results in the (2x+1) terms canceling out, leaving $\frac{3x}{5}$.

Multiply - 4x8x+4⋅6x+35\frac { 4 x } { 8 x + 4 } \cdot \frac { 6 x + 3 } { 5 }8x+44x​⋅56x+3​

Multiply
- $\frac { 4 x } { 8 x + 4 } \cdot \frac { 6 x + 3 } { 5 }$