Solve 7*13*(8/7-14/13)

$$7 \times 13 \times ( \frac { 8 } { 7 } - \frac { 14 } { 13 } )$$

Evaluate

$$6$$

Solution Steps

Multiply 7 and 13 to get 91.

$$91\left(\frac{8}{7}-\frac{14}{13}\right)$$

Least common multiple of 7 and 13 is 91. Convert \frac{8}{7} and \frac{14}{13} to fractions with denominator 91.

$$91\left(\frac{104}{91}-\frac{98}{91}\right)$$

Since \frac{104}{91} and \frac{98}{91} have the same denominator, subtract them by subtracting their numerators.

$$91\times \frac{104-98}{91}$$

Subtract 98 from 104 to get 6.

$$91\times \frac{6}{91}$$

Cancel out 91 and 91.

$$6$$

Factor

$$2\times 3$$