Solve 22/3-13/4

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

Evaluate

$$\frac{11}{12}\approx 0.916666667$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{6+2}{3}-\frac{1\times 4+3}{4}$$

Add 6 and 2 to get 8.

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

Multiply 1 and 4 to get 4.

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

Add 4 and 3 to get 7.

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

Least common multiple of 3 and 4 is 12. Convert \frac{8}{3} and \frac{7}{4} to fractions with denominator 12.

$$\frac{32}{12}-\frac{21}{12}$$

Since \frac{32}{12} and \frac{21}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{32-21}{12}$$

Subtract 21 from 32 to get 11.

$$\frac{11}{12}$$

Factor

$$\frac{11}{2 ^ {2} \cdot 3} = 0.9166666666666666$$