Solve 531/12*12/13+611/11*11/12

$$53 \frac { 1 } { 12 } \times \frac { 12 } { 13 } + 61 \frac { 1 } { 11 } \times \frac { 11 } { 12 }$$

Evaluate

$$105$$

Solution Steps

Multiply 53 and 12 to get 636.

$$\frac{636+1}{12}\times \frac{12}{13}+\frac{61\times 11+1}{11}\times \frac{11}{12}$$

Add 636 and 1 to get 637.

$$\frac{637}{12}\times \frac{12}{13}+\frac{61\times 11+1}{11}\times \frac{11}{12}$$

Multiply \frac{637}{12} times \frac{12}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{637\times 12}{12\times 13}+\frac{61\times 11+1}{11}\times \frac{11}{12}$$

Cancel out 12 in both numerator and denominator.

$$\frac{637}{13}+\frac{61\times 11+1}{11}\times \frac{11}{12}$$

Divide 637 by 13 to get 49.

$$49+\frac{61\times 11+1}{11}\times \frac{11}{12}$$

Multiply 61 and 11 to get 671.

$$49+\frac{671+1}{11}\times \frac{11}{12}$$

Add 671 and 1 to get 672.

$$49+\frac{672}{11}\times \frac{11}{12}$$

Multiply \frac{672}{11} times \frac{11}{12} by multiplying numerator times numerator and denominator times denominator.

$$49+\frac{672\times 11}{11\times 12}$$

Cancel out 11 in both numerator and denominator.

$$49+\frac{672}{12}$$

Divide 672 by 12 to get 56.

$$49+56$$

Add 49 and 56 to get 105.

$$105$$

Factor

$$3\times 5\times 7$$