Solve 42/3-3/4

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

Evaluate

$$\frac{47}{12}\approx 3.916666667$$

Solution Steps

Multiply 4 and 3 to get 12.

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

Add 12 and 2 to get 14.

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

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

$$\frac{56}{12}-\frac{9}{12}$$

Since \frac{56}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{56-9}{12}$$

Subtract 9 from 56 to get 47.

$$\frac{47}{12}$$

Factor

$$\frac{47}{2 ^ {2} \cdot 3} = 3\frac{11}{12} = 3.9166666666666665$$