Solve 12+100-90/7/frac{100+90{2}}

$$\frac{ 12+ \frac{ 100-90 }{ 7 } }{ \frac{ 100+90 }{ 2 } }$$

Evaluate

$$\frac{94}{665}\approx 0.141353383$$

Solution Steps

Subtract 90 from 100 to get 10.

$$\frac{12+\frac{10}{7}}{\frac{100+90}{2}}$$

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

$$\frac{\frac{84}{7}+\frac{10}{7}}{\frac{100+90}{2}}$$

Since \frac{84}{7} and \frac{10}{7} have the same denominator, add them by adding their numerators.

$$\frac{\frac{84+10}{7}}{\frac{100+90}{2}}$$

Add 84 and 10 to get 94.

$$\frac{\frac{94}{7}}{\frac{100+90}{2}}$$

Add 100 and 90 to get 190.

$$\frac{\frac{94}{7}}{\frac{190}{2}}$$

Divide 190 by 2 to get 95.

$$\frac{\frac{94}{7}}{95}$$

Express \frac{\frac{94}{7}}{95} as a single fraction.

$$\frac{94}{7\times 95}$$

Multiply 7 and 95 to get 665.

$$\frac{94}{665}$$

Factor

$$\frac{2 \cdot 47}{5 \cdot 7 \cdot 19} = 0.14135338345864662$$