Solve 61/3-11/2-15/6=

$$6 \frac { 1 } { 3 } - 1 \frac { 1 } { 2 } - 1 \frac { 5 } { 6 } =$$

Evaluate

$$3$$

Solution Steps

Multiply 6 and 3 to get 18.

$$\frac{18+1}{3}-\frac{1\times 2+1}{2}-\frac{1\times 6+5}{6}$$

Add 18 and 1 to get 19.

$$\frac{19}{3}-\frac{1\times 2+1}{2}-\frac{1\times 6+5}{6}$$

Multiply 1 and 2 to get 2.

$$\frac{19}{3}-\frac{2+1}{2}-\frac{1\times 6+5}{6}$$

Add 2 and 1 to get 3.

$$\frac{19}{3}-\frac{3}{2}-\frac{1\times 6+5}{6}$$

Least common multiple of 3 and 2 is 6. Convert \frac{19}{3} and \frac{3}{2} to fractions with denominator 6.

$$\frac{38}{6}-\frac{9}{6}-\frac{1\times 6+5}{6}$$

Since \frac{38}{6} and \frac{9}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{38-9}{6}-\frac{1\times 6+5}{6}$$

Subtract 9 from 38 to get 29.

$$\frac{29}{6}-\frac{1\times 6+5}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{29}{6}-\frac{6+5}{6}$$

Add 6 and 5 to get 11.

$$\frac{29}{6}-\frac{11}{6}$$

Since \frac{29}{6} and \frac{11}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{29-11}{6}$$

Subtract 11 from 29 to get 18.

$$\frac{18}{6}$$

Divide 18 by 6 to get 3.

$$3$$

Factor

$$3$$