Solve 519/24+77/24

$$5 \frac { 19 } { 24 } + 7 \frac { 7 } { 24 }$$

Evaluate

$$\frac{157}{12}\approx 13.083333333$$

Solution Steps

Multiply 5 and 24 to get 120.

$$\frac{120+19}{24}+\frac{7\times 24+7}{24}$$

Add 120 and 19 to get 139.

$$\frac{139}{24}+\frac{7\times 24+7}{24}$$

Multiply 7 and 24 to get 168.

$$\frac{139}{24}+\frac{168+7}{24}$$

Add 168 and 7 to get 175.

$$\frac{139}{24}+\frac{175}{24}$$

Since \frac{139}{24} and \frac{175}{24} have the same denominator, add them by adding their numerators.

$$\frac{139+175}{24}$$

Add 139 and 175 to get 314.

$$\frac{314}{24}$$

Reduce the fraction \frac{314}{24} to lowest terms by extracting and canceling out 2.

$$\frac{157}{12}$$

Factor

$$\frac{157}{2 ^ {2} \cdot 3} = 13\frac{1}{12} = 13.083333333333334$$