Solve 181/2-41/3-51/6

$$18 \frac { 1 } { 2 } - 4 \frac { 1 } { 3 } - 5 \frac { 1 } { 6 }$$

Evaluate

$$9$$

Solution Steps

Multiply 18 and 2 to get 36.

$$\frac{36+1}{2}-\frac{4\times 3+1}{3}-\frac{5\times 6+1}{6}$$

Add 36 and 1 to get 37.

$$\frac{37}{2}-\frac{4\times 3+1}{3}-\frac{5\times 6+1}{6}$$

Multiply 4 and 3 to get 12.

$$\frac{37}{2}-\frac{12+1}{3}-\frac{5\times 6+1}{6}$$

Add 12 and 1 to get 13.

$$\frac{37}{2}-\frac{13}{3}-\frac{5\times 6+1}{6}$$

Least common multiple of 2 and 3 is 6. Convert \frac{37}{2} and \frac{13}{3} to fractions with denominator 6.

$$\frac{111}{6}-\frac{26}{6}-\frac{5\times 6+1}{6}$$

Since \frac{111}{6} and \frac{26}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{111-26}{6}-\frac{5\times 6+1}{6}$$

Subtract 26 from 111 to get 85.

$$\frac{85}{6}-\frac{5\times 6+1}{6}$$

Multiply 5 and 6 to get 30.

$$\frac{85}{6}-\frac{30+1}{6}$$

Add 30 and 1 to get 31.

$$\frac{85}{6}-\frac{31}{6}$$

Since \frac{85}{6} and \frac{31}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{85-31}{6}$$

Subtract 31 from 85 to get 54.

$$\frac{54}{6}$$

Divide 54 by 6 to get 9.

$$9$$

Factor

$$3^{2}$$