Solve 272/39-65/13

$$27 \frac { 2 } { 39 } - 6 \frac { 5 } { 13 }$$

Evaluate

$$\frac{62}{3}\approx 20.666666667$$

Solution Steps

Multiply 27 and 39 to get 1053.

$$\frac{1053+2}{39}-\frac{6\times 13+5}{13}$$

Add 1053 and 2 to get 1055.

$$\frac{1055}{39}-\frac{6\times 13+5}{13}$$

Multiply 6 and 13 to get 78.

$$\frac{1055}{39}-\frac{78+5}{13}$$

Add 78 and 5 to get 83.

$$\frac{1055}{39}-\frac{83}{13}$$

Least common multiple of 39 and 13 is 39. Convert \frac{1055}{39} and \frac{83}{13} to fractions with denominator 39.

$$\frac{1055}{39}-\frac{249}{39}$$

Since \frac{1055}{39} and \frac{249}{39} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1055-249}{39}$$

Subtract 249 from 1055 to get 806.

$$\frac{806}{39}$$

Reduce the fraction \frac{806}{39} to lowest terms by extracting and canceling out 13.

$$\frac{62}{3}$$

Factor

$$\frac{2 \cdot 31}{3} = 20\frac{2}{3} = 20.666666666666668$$