Solve 213/26-124/26

$$2 \frac { 13 } { 26 } - 1 \frac { 24 } { 26 }$$

Evaluate

$$\frac{15}{26}\approx 0.576923077$$

Solution Steps

Multiply 2 and 26 to get 52.

$$\frac{52+13}{26}-\frac{1\times 26+24}{26}$$

Add 52 and 13 to get 65.

$$\frac{65}{26}-\frac{1\times 26+24}{26}$$

Reduce the fraction \frac{65}{26} to lowest terms by extracting and canceling out 13.

$$\frac{5}{2}-\frac{1\times 26+24}{26}$$

Multiply 1 and 26 to get 26.

$$\frac{5}{2}-\frac{26+24}{26}$$

Add 26 and 24 to get 50.

$$\frac{5}{2}-\frac{50}{26}$$

Reduce the fraction \frac{50}{26} to lowest terms by extracting and canceling out 2.

$$\frac{5}{2}-\frac{25}{13}$$

Least common multiple of 2 and 13 is 26. Convert \frac{5}{2} and \frac{25}{13} to fractions with denominator 26.

$$\frac{65}{26}-\frac{50}{26}$$

Since \frac{65}{26} and \frac{50}{26} have the same denominator, subtract them by subtracting their numerators.

$$\frac{65-50}{26}$$

Subtract 50 from 65 to get 15.

$$\frac{15}{26}$$

Factor

$$\frac{3 \cdot 5}{2 \cdot 13} = 0.5769230769230769$$