Solve 11/14+(-31/7)=

$$1 \frac{ 1 }{ 14 } +(-3 \frac{ 1 }{ 7 } )=$$

Evaluate

$$-\frac{29}{14}\approx -2.071428571$$

Solution Steps

Multiply 1 and 14 to get 14.

$$\frac{14+1}{14}-\frac{3\times 7+1}{7}$$

Add 14 and 1 to get 15.

$$\frac{15}{14}-\frac{3\times 7+1}{7}$$

Multiply 3 and 7 to get 21.

$$\frac{15}{14}-\frac{21+1}{7}$$

Add 21 and 1 to get 22.

$$\frac{15}{14}-\frac{22}{7}$$

Least common multiple of 14 and 7 is 14. Convert \frac{15}{14} and \frac{22}{7} to fractions with denominator 14.

$$\frac{15}{14}-\frac{44}{14}$$

Since \frac{15}{14} and \frac{44}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-44}{14}$$

Subtract 44 from 15 to get -29.

$$-\frac{29}{14}$$

Factor

$$-\frac{29}{14} = -2\frac{1}{14} = -2.0714285714285716$$