Solve 7x(x-4)/10xdiv2(x-4)/5

$$\frac { 7 x ( x - 4 ) } { 10 x } \div \frac { 2 ( x - 4 ) } { 5 }$$

Evaluate

$$\frac{7}{4}=1.75$$

Solution Steps

Divide \frac{7x\left(x-4\right)}{10x} by \frac{2\left(x-4\right)}{5} by multiplying \frac{7x\left(x-4\right)}{10x} by the reciprocal of \frac{2\left(x-4\right)}{5}.

$$\frac{7x\left(x-4\right)\times 5}{10x\times 2\left(x-4\right)}$$

Cancel out 5x\left(x-4\right) in both numerator and denominator.

$$\frac{7}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{7}{4}$$

Factor

$$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75$$