Solve 3/4+12/2-1/3

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

Evaluate

$$\frac{77}{12}\approx 6.416666667$$

Solution Steps

Divide 12 by 2 to get 6.

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

Convert 6 to fraction \frac{24}{4}.

$$\frac{3}{4}+\frac{24}{4}-\frac{1}{3}$$

Since \frac{3}{4} and \frac{24}{4} have the same denominator, add them by adding their numerators.

$$\frac{3+24}{4}-\frac{1}{3}$$

Add 3 and 24 to get 27.

$$\frac{27}{4}-\frac{1}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{27}{4} and \frac{1}{3} to fractions with denominator 12.

$$\frac{81}{12}-\frac{4}{12}$$

Since \frac{81}{12} and \frac{4}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{81-4}{12}$$

Subtract 4 from 81 to get 77.

$$\frac{77}{12}$$

Factor

$$\frac{7 \cdot 11}{2 ^ {2} \cdot 3} = 6\frac{5}{12} = 6.416666666666667$$