Solve 31/4+11/2-1/3

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

Evaluate

$$\frac{53}{12}\approx 4.416666667$$

Solution Steps

Multiply 3 and 4 to get 12.

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

Add 12 and 1 to get 13.

$$\frac{13}{4}+\frac{1\times 2+1}{2}-\frac{1}{3}$$

Multiply 1 and 2 to get 2.

$$\frac{13}{4}+\frac{2+1}{2}-\frac{1}{3}$$

Add 2 and 1 to get 3.

$$\frac{13}{4}+\frac{3}{2}-\frac{1}{3}$$

Least common multiple of 4 and 2 is 4. Convert \frac{13}{4} and \frac{3}{2} to fractions with denominator 4.

$$\frac{13}{4}+\frac{6}{4}-\frac{1}{3}$$

Since \frac{13}{4} and \frac{6}{4} have the same denominator, add them by adding their numerators.

$$\frac{13+6}{4}-\frac{1}{3}$$

Add 13 and 6 to get 19.

$$\frac{19}{4}-\frac{1}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{19}{4} and \frac{1}{3} to fractions with denominator 12.

$$\frac{57}{12}-\frac{4}{12}$$

Since \frac{57}{12} and \frac{4}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{57-4}{12}$$

Subtract 4 from 57 to get 53.

$$\frac{53}{12}$$

Factor

$$\frac{53}{2 ^ {2} \cdot 3} = 4\frac{5}{12} = 4.416666666666667$$