Solve 32/3-13/4

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

Evaluate

$$\frac{23}{12}\approx 1.916666667$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{9+2}{3}-\frac{1\times 4+3}{4}$$

Add 9 and 2 to get 11.

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

Multiply 1 and 4 to get 4.

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

Add 4 and 3 to get 7.

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

Least common multiple of 3 and 4 is 12. Convert \frac{11}{3} and \frac{7}{4} to fractions with denominator 12.

$$\frac{44}{12}-\frac{21}{12}$$

Since \frac{44}{12} and \frac{21}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{44-21}{12}$$

Subtract 21 from 44 to get 23.

$$\frac{23}{12}$$

Factor

$$\frac{23}{2 ^ {2} \cdot 3} = 1\frac{11}{12} = 1.9166666666666667$$