Solve 29/13-86/91-2/7

$$\frac{ 29 }{ 13 } - \frac{ 86 }{ 91 } - \frac{ 2 }{ 7 }$$

Evaluate

$$1$$

Solution Steps

Least common multiple of 13 and 91 is 91. Convert \frac{29}{13} and \frac{86}{91} to fractions with denominator 91.

$$\frac{203}{91}-\frac{86}{91}-\frac{2}{7}$$

Since \frac{203}{91} and \frac{86}{91} have the same denominator, subtract them by subtracting their numerators.

$$\frac{203-86}{91}-\frac{2}{7}$$

Subtract 86 from 203 to get 117.

$$\frac{117}{91}-\frac{2}{7}$$

Reduce the fraction \frac{117}{91} to lowest terms by extracting and canceling out 13.

$$\frac{9}{7}-\frac{2}{7}$$

Since \frac{9}{7} and \frac{2}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-2}{7}$$

Subtract 2 from 9 to get 7.

$$\frac{7}{7}$$

Divide 7 by 7 to get 1.

$$1$$

Factor

$$1$$