Solve 20/3-11/2-41/12

$$\frac { 20 } { 3 } - 1 \frac { 1 } { 2 } - 4 \frac { 1 } { 12 }$$

Evaluate

$$\frac{13}{12}\approx 1.083333333$$

Solution Steps

Multiply 1 and 2 to get 2.

$$\frac{20}{3}-\frac{2+1}{2}-\frac{4\times 12+1}{12}$$

Add 2 and 1 to get 3.

$$\frac{20}{3}-\frac{3}{2}-\frac{4\times 12+1}{12}$$

Least common multiple of 3 and 2 is 6. Convert \frac{20}{3} and \frac{3}{2} to fractions with denominator 6.

$$\frac{40}{6}-\frac{9}{6}-\frac{4\times 12+1}{12}$$

Since \frac{40}{6} and \frac{9}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{40-9}{6}-\frac{4\times 12+1}{12}$$

Subtract 9 from 40 to get 31.

$$\frac{31}{6}-\frac{4\times 12+1}{12}$$

Multiply 4 and 12 to get 48.

$$\frac{31}{6}-\frac{48+1}{12}$$

Add 48 and 1 to get 49.

$$\frac{31}{6}-\frac{49}{12}$$

Least common multiple of 6 and 12 is 12. Convert \frac{31}{6} and \frac{49}{12} to fractions with denominator 12.

$$\frac{62}{12}-\frac{49}{12}$$

Since \frac{62}{12} and \frac{49}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{62-49}{12}$$

Subtract 49 from 62 to get 13.

$$\frac{13}{12}$$

Factor

$$\frac{13}{2 ^ {2} \cdot 3} = 1\frac{1}{12} = 1.0833333333333333$$