Solve 10+100-96/10/frac{100+96{2}}

$$\frac { 10 + \frac { 100 - 96 } { 10 } } { \frac { 100 + 96 } { 2 } }$$

Evaluate

$$\frac{26}{245}\approx 0.106122449$$

Solution Steps

Subtract 96 from 100 to get 4.

$$\frac{10+\frac{4}{10}}{\frac{100+96}{2}}$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{10+\frac{2}{5}}{\frac{100+96}{2}}$$

Convert 10 to fraction \frac{50}{5}.

$$\frac{\frac{50}{5}+\frac{2}{5}}{\frac{100+96}{2}}$$

Since \frac{50}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$\frac{\frac{50+2}{5}}{\frac{100+96}{2}}$$

Add 50 and 2 to get 52.

$$\frac{\frac{52}{5}}{\frac{100+96}{2}}$$

Add 100 and 96 to get 196.

$$\frac{\frac{52}{5}}{\frac{196}{2}}$$

Divide 196 by 2 to get 98.

$$\frac{\frac{52}{5}}{98}$$

Express \frac{\frac{52}{5}}{98} as a single fraction.

$$\frac{52}{5\times 98}$$

Multiply 5 and 98 to get 490.

$$\frac{52}{490}$$

Reduce the fraction \frac{52}{490} to lowest terms by extracting and canceling out 2.

$$\frac{26}{245}$$

Factor

$$\frac{2 \cdot 13}{5 \cdot 7 ^ {2}} = 0.10612244897959183$$