Solve 12+112-100/7/(100+70-2)

$$\frac { 12 + \frac { 112 - 100 } { 7 } } { ( 100 + 70 - 2 ) }$$

Evaluate

$$\frac{4}{49}\approx 0.081632653$$

Solution Steps

Subtract 100 from 112 to get 12.

$$\frac{12+\frac{12}{7}}{100+70-2}$$

Convert 12 to fraction \frac{84}{7}.

$$\frac{\frac{84}{7}+\frac{12}{7}}{100+70-2}$$

Since \frac{84}{7} and \frac{12}{7} have the same denominator, add them by adding their numerators.

$$\frac{\frac{84+12}{7}}{100+70-2}$$

Add 84 and 12 to get 96.

$$\frac{\frac{96}{7}}{100+70-2}$$

Add 100 and 70 to get 170.

$$\frac{\frac{96}{7}}{170-2}$$

Subtract 2 from 170 to get 168.

$$\frac{\frac{96}{7}}{168}$$

Express \frac{\frac{96}{7}}{168} as a single fraction.

$$\frac{96}{7\times 168}$$

Multiply 7 and 168 to get 1176.

$$\frac{96}{1176}$$

Reduce the fraction \frac{96}{1176} to lowest terms by extracting and canceling out 24.

$$\frac{4}{49}$$

Factor

$$\frac{2 ^ {2}}{7 ^ {2}} = 0.08163265306122448$$