Solve 23/4-57/3=

$$2 \frac { 3 } { 4 } - 5 \frac { 7 } { 3 } =$$

Evaluate

$$-\frac{55}{12}\approx -4.583333333$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+3}{4}-\frac{5\times 3+7}{3}$$

Add 8 and 3 to get 11.

$$\frac{11}{4}-\frac{5\times 3+7}{3}$$

Multiply 5 and 3 to get 15.

$$\frac{11}{4}-\frac{15+7}{3}$$

Add 15 and 7 to get 22.

$$\frac{11}{4}-\frac{22}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{11}{4} and \frac{22}{3} to fractions with denominator 12.

$$\frac{33}{12}-\frac{88}{12}$$

Since \frac{33}{12} and \frac{88}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-88}{12}$$

Subtract 88 from 33 to get -55.

$$-\frac{55}{12}$$

Factor

$$-\frac{55}{12} = -4\frac{7}{12} = -4.583333333333333$$