Solve 42/3-21/4

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

Evaluate

$$\frac{29}{12}\approx 2.416666667$$

Solution Steps

Multiply 4 and 3 to get 12.

$$\frac{12+2}{3}-\frac{2\times 4+1}{4}$$

Add 12 and 2 to get 14.

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

Multiply 2 and 4 to get 8.

$$\frac{14}{3}-\frac{8+1}{4}$$

Add 8 and 1 to get 9.

$$\frac{14}{3}-\frac{9}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{14}{3} and \frac{9}{4} to fractions with denominator 12.

$$\frac{56}{12}-\frac{27}{12}$$

Since \frac{56}{12} and \frac{27}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{56-27}{12}$$

Subtract 27 from 56 to get 29.

$$\frac{29}{12}$$

Factor

$$\frac{29}{2 ^ {2} \cdot 3} = 2\frac{5}{12} = 2.4166666666666665$$