Solve 23/4-12/3=

$$2 \frac { 3 } { 4 } - 1 \frac { 2 } { 3 } =$$

Evaluate

$$\frac{13}{12}\approx 1.083333333$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+3}{4}-\frac{1\times 3+2}{3}$$

Add 8 and 3 to get 11.

$$\frac{11}{4}-\frac{1\times 3+2}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{11}{4}-\frac{3+2}{3}$$

Add 3 and 2 to get 5.

$$\frac{11}{4}-\frac{5}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{11}{4} and \frac{5}{3} to fractions with denominator 12.

$$\frac{33}{12}-\frac{20}{12}$$

Since \frac{33}{12} and \frac{20}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-20}{12}$$

Subtract 20 from 33 to get 13.

$$\frac{13}{12}$$

Factor

$$\frac{13}{2 ^ {2} \cdot 3} = 1\frac{1}{12} = 1.0833333333333333$$