Solve 14-32/3-21/4

$$14 - 3 \frac { 2 } { 3 } - 2 \frac { 1 } { 4 }$$

Evaluate

$$\frac{97}{12}\approx 8.083333333$$

Solution Steps

Multiply 3 and 3 to get 9.

$$14-\frac{9+2}{3}-\frac{2\times 4+1}{4}$$

Add 9 and 2 to get 11.

$$14-\frac{11}{3}-\frac{2\times 4+1}{4}$$

Convert 14 to fraction \frac{42}{3}.

$$\frac{42}{3}-\frac{11}{3}-\frac{2\times 4+1}{4}$$

Since \frac{42}{3} and \frac{11}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{42-11}{3}-\frac{2\times 4+1}{4}$$

Subtract 11 from 42 to get 31.

$$\frac{31}{3}-\frac{2\times 4+1}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{31}{3}-\frac{8+1}{4}$$

Add 8 and 1 to get 9.

$$\frac{31}{3}-\frac{9}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{31}{3} and \frac{9}{4} to fractions with denominator 12.

$$\frac{124}{12}-\frac{27}{12}$$

Since \frac{124}{12} and \frac{27}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{124-27}{12}$$

Subtract 27 from 124 to get 97.

$$\frac{97}{12}$$

Factor

$$\frac{97}{2 ^ {2} \cdot 3} = 8\frac{1}{12} = 8.083333333333334$$