Solve 121+1100-1150/15/frac{1100+1150{2}}

$$\frac{ 121+ \frac{ 1100-1150 }{ 15 } }{ \frac{ 1100+1150 }{ 2 } }$$

Evaluate

$$\frac{353}{3375}\approx 0.104592593$$

Solution Steps

Subtract 1150 from 1100 to get -50.

$$\frac{121+\frac{-50}{15}}{\frac{1100+1150}{2}}$$

Reduce the fraction \frac{-50}{15} to lowest terms by extracting and canceling out 5.

$$\frac{121-\frac{10}{3}}{\frac{1100+1150}{2}}$$

Convert 121 to fraction \frac{363}{3}.

$$\frac{\frac{363}{3}-\frac{10}{3}}{\frac{1100+1150}{2}}$$

Since \frac{363}{3} and \frac{10}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{363-10}{3}}{\frac{1100+1150}{2}}$$

Subtract 10 from 363 to get 353.

$$\frac{\frac{353}{3}}{\frac{1100+1150}{2}}$$

Add 1100 and 1150 to get 2250.

$$\frac{\frac{353}{3}}{\frac{2250}{2}}$$

Divide 2250 by 2 to get 1125.

$$\frac{\frac{353}{3}}{1125}$$

Express \frac{\frac{353}{3}}{1125} as a single fraction.

$$\frac{353}{3\times 1125}$$

Multiply 3 and 1125 to get 3375.

$$\frac{353}{3375}$$

Factor

$$\frac{353}{3 ^ {3} \cdot 5 ^ {3}} = 0.1045925925925926$$