Solve 12.5+107.5-105.5/5/frac{107.5+105.5{2}}

$$\frac{ 12.5+ \frac{ 107.5-105.5 }{ 5 } }{ \frac{ 107.5+105.5 }{ 2 } }$$

Evaluate

$$\frac{43}{355}\approx 0.121126761$$

Solution Steps

Subtract 105.5 from 107.5 to get 2.

$$\frac{12.5+\frac{2}{5}}{\frac{107.5+105.5}{2}}$$

Convert decimal number 12.5 to fraction \frac{125}{10}. Reduce the fraction \frac{125}{10} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{25}{2}+\frac{2}{5}}{\frac{107.5+105.5}{2}}$$

Least common multiple of 2 and 5 is 10. Convert \frac{25}{2} and \frac{2}{5} to fractions with denominator 10.

$$\frac{\frac{125}{10}+\frac{4}{10}}{\frac{107.5+105.5}{2}}$$

Since \frac{125}{10} and \frac{4}{10} have the same denominator, add them by adding their numerators.

$$\frac{\frac{125+4}{10}}{\frac{107.5+105.5}{2}}$$

Add 125 and 4 to get 129.

$$\frac{\frac{129}{10}}{\frac{107.5+105.5}{2}}$$

Add 107.5 and 105.5 to get 213.

$$\frac{\frac{129}{10}}{\frac{213}{2}}$$

Divide \frac{129}{10} by \frac{213}{2} by multiplying \frac{129}{10} by the reciprocal of \frac{213}{2}.

$$\frac{129}{10}\times \frac{2}{213}$$

Multiply \frac{129}{10} times \frac{2}{213} by multiplying numerator times numerator and denominator times denominator.

$$\frac{129\times 2}{10\times 213}$$

Do the multiplications in the fraction \frac{129\times 2}{10\times 213}.

$$\frac{258}{2130}$$

Reduce the fraction \frac{258}{2130} to lowest terms by extracting and canceling out 6.

$$\frac{43}{355}$$

Factor

$$\frac{43}{5 \cdot 71} = 0.12112676056338029$$