Solve 812/2*2/12+192/12*13

$$8 \frac { 12 } { 2 } \times \frac { 2 } { 12 } + 19 \frac { 2 } { 12 } \times 13$$

Evaluate

$$\frac{503}{2}=251.5$$

Solution Steps

Multiply 8 and 2 to get 16.

$$\frac{16+12}{2}\times \frac{2}{12}+\frac{19\times 12+2}{12}\times 13$$

Add 16 and 12 to get 28.

$$\frac{28}{2}\times \frac{2}{12}+\frac{19\times 12+2}{12}\times 13$$

Divide 28 by 2 to get 14.

$$14\times \frac{2}{12}+\frac{19\times 12+2}{12}\times 13$$

Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.

$$14\times \frac{1}{6}+\frac{19\times 12+2}{12}\times 13$$

Multiply 14 and \frac{1}{6} to get \frac{14}{6}.

$$\frac{14}{6}+\frac{19\times 12+2}{12}\times 13$$

Reduce the fraction \frac{14}{6} to lowest terms by extracting and canceling out 2.

$$\frac{7}{3}+\frac{19\times 12+2}{12}\times 13$$

Multiply 19 and 12 to get 228.

$$\frac{7}{3}+\frac{228+2}{12}\times 13$$

Add 228 and 2 to get 230.

$$\frac{7}{3}+\frac{230}{12}\times 13$$

Reduce the fraction \frac{230}{12} to lowest terms by extracting and canceling out 2.

$$\frac{7}{3}+\frac{115}{6}\times 13$$

Express \frac{115}{6}\times 13 as a single fraction.

$$\frac{7}{3}+\frac{115\times 13}{6}$$

Multiply 115 and 13 to get 1495.

$$\frac{7}{3}+\frac{1495}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{7}{3} and \frac{1495}{6} to fractions with denominator 6.

$$\frac{14}{6}+\frac{1495}{6}$$

Since \frac{14}{6} and \frac{1495}{6} have the same denominator, add them by adding their numerators.

$$\frac{14+1495}{6}$$

Add 14 and 1495 to get 1509.

$$\frac{1509}{6}$$

Reduce the fraction \frac{1509}{6} to lowest terms by extracting and canceling out 3.

$$\frac{503}{2}$$

Factor

$$\frac{503}{2} = 251\frac{1}{2} = 251.5$$