Solve 31/7+(-23/4)

$$3 \frac { 1 } { 7 } + ( - 2 \frac { 3 } { 4 } )$$

Evaluate

$$\frac{11}{28}\approx 0.392857143$$

Solution Steps

Multiply 3 and 7 to get 21.

$$\frac{21+1}{7}-\frac{2\times 4+3}{4}$$

Add 21 and 1 to get 22.

$$\frac{22}{7}-\frac{2\times 4+3}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{22}{7}-\frac{8+3}{4}$$

Add 8 and 3 to get 11.

$$\frac{22}{7}-\frac{11}{4}$$

Least common multiple of 7 and 4 is 28. Convert \frac{22}{7} and \frac{11}{4} to fractions with denominator 28.

$$\frac{88}{28}-\frac{77}{28}$$

Since \frac{88}{28} and \frac{77}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{88-77}{28}$$

Subtract 77 from 88 to get 11.

$$\frac{11}{28}$$

Factor

$$\frac{11}{2 ^ {2} \cdot 7} = 0.39285714285714285$$