Solve a-2b/16div4a-8b/24

$$\frac { a - 2 b } { 16 } \div \frac { 4 a - 8 b } { 24 }$$

Evaluate

$$\frac{3}{8}=0.375$$

Short Solution Steps

Divide \frac{a-2b}{16} by \frac{4a-8b}{24} by multiplying \frac{a-2b}{16} by the reciprocal of \frac{4a-8b}{24}.

$$\frac{\left(a-2b\right)\times 24}{16\left(4a-8b\right)}$$

Cancel out 8 in both numerator and denominator.

$$\frac{3\left(a-2b\right)}{2\left(4a-8b\right)}$$

Factor the expressions that are not already factored.

$$\frac{3\left(a-2b\right)}{2\times 4\left(a-2b\right)}$$

Cancel out a-2b in both numerator and denominator.

$$\frac{3}{2\times 4}$$

Multiply 2 and 4 to get 8.

$$\frac{3}{8}$$

Factor

$$\frac{3}{2 ^ {3}} = 0.375$$