Solve 112+10div51/2+7

$$1 \frac { 12 + 10 \div 51 } { 2 } + 7$$

Evaluate

$$\frac{668}{51}\approx 13.098039216$$

Solution Steps

Convert 12 to fraction \frac{612}{51}.

$$1\times \frac{\frac{612}{51}+\frac{10}{51}}{2}+7$$

Since \frac{612}{51} and \frac{10}{51} have the same denominator, add them by adding their numerators.

$$1\times \frac{\frac{612+10}{51}}{2}+7$$

Add 612 and 10 to get 622.

$$1\times \frac{\frac{622}{51}}{2}+7$$

Express \frac{\frac{622}{51}}{2} as a single fraction.

$$1\times \frac{622}{51\times 2}+7$$

Multiply 51 and 2 to get 102.

$$1\times \frac{622}{102}+7$$

Reduce the fraction \frac{622}{102} to lowest terms by extracting and canceling out 2.

$$1\times \frac{311}{51}+7$$

Multiply 1 and \frac{311}{51} to get \frac{311}{51}.

$$\frac{311}{51}+7$$

Convert 7 to fraction \frac{357}{51}.

$$\frac{311}{51}+\frac{357}{51}$$

Since \frac{311}{51} and \frac{357}{51} have the same denominator, add them by adding their numerators.

$$\frac{311+357}{51}$$

Add 311 and 357 to get 668.

$$\frac{668}{51}$$

Factor

$$\frac{2 ^ {2} \cdot 167}{3 \cdot 17} = 13\frac{5}{51} = 13.098039215686274$$