Solve 12+100-110/7/frac{100+110{2}}

$$\frac{ 12+ \frac{ 100-110 }{ 7 } }{ \frac{ 100+110 }{ 2 } }$$

Evaluate

$$\frac{74}{735}\approx 0.100680272$$

Solution Steps

Subtract 110 from 100 to get -10.

$$\frac{12+\frac{-10}{7}}{\frac{100+110}{2}}$$

Fraction \frac{-10}{7} can be rewritten as -\frac{10}{7} by extracting the negative sign.

$$\frac{12-\frac{10}{7}}{\frac{100+110}{2}}$$

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

$$\frac{\frac{84}{7}-\frac{10}{7}}{\frac{100+110}{2}}$$

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

$$\frac{\frac{84-10}{7}}{\frac{100+110}{2}}$$

Subtract 10 from 84 to get 74.

$$\frac{\frac{74}{7}}{\frac{100+110}{2}}$$

Add 100 and 110 to get 210.

$$\frac{\frac{74}{7}}{\frac{210}{2}}$$

Divide 210 by 2 to get 105.

$$\frac{\frac{74}{7}}{105}$$

Express \frac{\frac{74}{7}}{105} as a single fraction.

$$\frac{74}{7\times 105}$$

Multiply 7 and 105 to get 735.

$$\frac{74}{735}$$

Factor

$$\frac{2 \cdot 37}{3 \cdot 5 \cdot 7 ^ {2}} = 0.10068027210884353$$