Solve 23/13-19/26=

$$2 \frac { 3 } { 13 } - \frac { 19 } { 26 } =$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Multiply 2 and 13 to get 26.

$$\frac{26+3}{13}-\frac{19}{26}$$

Add 26 and 3 to get 29.

$$\frac{29}{13}-\frac{19}{26}$$

Least common multiple of 13 and 26 is 26. Convert \frac{29}{13} and \frac{19}{26} to fractions with denominator 26.

$$\frac{58}{26}-\frac{19}{26}$$

Since \frac{58}{26} and \frac{19}{26} have the same denominator, subtract them by subtracting their numerators.

$$\frac{58-19}{26}$$

Subtract 19 from 58 to get 39.

$$\frac{39}{26}$$

Reduce the fraction \frac{39}{26} to lowest terms by extracting and canceling out 13.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$