Solve 122/4div2/50

$$12 \frac{ 2 }{ 4 } \div \frac{ 2 }{ 50 }$$

Evaluate

$$\frac{625}{2}=312.5$$

Solution Steps

Divide \frac{12\times 4+2}{4} by \frac{2}{50} by multiplying \frac{12\times 4+2}{4} by the reciprocal of \frac{2}{50}.

$$\frac{\left(12\times 4+2\right)\times 50}{4\times 2}$$

Cancel out 2 in both numerator and denominator.

$$\frac{25\left(2+4\times 12\right)}{2\times 2}$$

Multiply 4 and 12 to get 48.

$$\frac{25\left(2+48\right)}{2\times 2}$$

Add 2 and 48 to get 50.

$$\frac{25\times 50}{2\times 2}$$

Multiply 25 and 50 to get 1250.

$$\frac{1250}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{1250}{4}$$

Reduce the fraction \frac{1250}{4} to lowest terms by extracting and canceling out 2.

$$\frac{625}{2}$$

Factor

$$\frac{5 ^ {4}}{2} = 312\frac{1}{2} = 312.5$$