Solve 25/7+(-11/2)

$$2 \frac { 5 } { 7 } + ( - 1 \frac { 1 } { 2 } )$$

Evaluate

$$\frac{17}{14}\approx 1.214285714$$

Solution Steps

Multiply 2 and 7 to get 14.

$$\frac{14+5}{7}-\frac{1\times 2+1}{2}$$

Add 14 and 5 to get 19.

$$\frac{19}{7}-\frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$\frac{19}{7}-\frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$\frac{19}{7}-\frac{3}{2}$$

Least common multiple of 7 and 2 is 14. Convert \frac{19}{7} and \frac{3}{2} to fractions with denominator 14.

$$\frac{38}{14}-\frac{21}{14}$$

Since \frac{38}{14} and \frac{21}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{38-21}{14}$$

Subtract 21 from 38 to get 17.

$$\frac{17}{14}$$

Factor

$$\frac{17}{2 \cdot 7} = 1\frac{3}{14} = 1.2142857142857142$$