Solve (42/3+11/6)-15/6

$$( 4 \frac { 2 } { 3 } + 1 \frac { 1 } { 6 } ) - 1 \frac { 5 } { 6 }$$

Evaluate

$$4$$

Solution Steps

Multiply 4 and 3 to get 12.

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

Add 12 and 2 to get 14.

$$\frac{14}{3}+\frac{1\times 6+1}{6}-\frac{1\times 6+5}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{14}{3}+\frac{6+1}{6}-\frac{1\times 6+5}{6}$$

Add 6 and 1 to get 7.

$$\frac{14}{3}+\frac{7}{6}-\frac{1\times 6+5}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{14}{3} and \frac{7}{6} to fractions with denominator 6.

$$\frac{28}{6}+\frac{7}{6}-\frac{1\times 6+5}{6}$$

Since \frac{28}{6} and \frac{7}{6} have the same denominator, add them by adding their numerators.

$$\frac{28+7}{6}-\frac{1\times 6+5}{6}$$

Add 28 and 7 to get 35.

$$\frac{35}{6}-\frac{1\times 6+5}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{35}{6}-\frac{6+5}{6}$$

Add 6 and 5 to get 11.

$$\frac{35}{6}-\frac{11}{6}$$

Since \frac{35}{6} and \frac{11}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-11}{6}$$

Subtract 11 from 35 to get 24.

$$\frac{24}{6}$$

Divide 24 by 6 to get 4.

$$4$$

Factor

$$2^{2}$$