Solve 25/7-19/14

$$2 \frac { 5 } { 7 } - 1 \frac { 9 } { 14 }$$

Evaluate

$$\frac{15}{14}\approx 1.071428571$$

Solution Steps

Multiply 2 and 7 to get 14.

$$\frac{14+5}{7}-\frac{1\times 14+9}{14}$$

Add 14 and 5 to get 19.

$$\frac{19}{7}-\frac{1\times 14+9}{14}$$

Multiply 1 and 14 to get 14.

$$\frac{19}{7}-\frac{14+9}{14}$$

Add 14 and 9 to get 23.

$$\frac{19}{7}-\frac{23}{14}$$

Least common multiple of 7 and 14 is 14. Convert \frac{19}{7} and \frac{23}{14} to fractions with denominator 14.

$$\frac{38}{14}-\frac{23}{14}$$

Since \frac{38}{14} and \frac{23}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{38-23}{14}$$

Subtract 23 from 38 to get 15.

$$\frac{15}{14}$$

Factor

$$\frac{3 \cdot 5}{2 \cdot 7} = 1\frac{1}{14} = 1.0714285714285714$$