Solve 6(35/6-11/4)

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

Evaluate

$$\frac{31}{2}=15.5$$

Solution Steps

Multiply 3 and 6 to get 18.

$$6\left(\frac{18+5}{6}-\frac{1\times 4+1}{4}\right)$$

Add 18 and 5 to get 23.

$$6\left(\frac{23}{6}-\frac{1\times 4+1}{4}\right)$$

Multiply 1 and 4 to get 4.

$$6\left(\frac{23}{6}-\frac{4+1}{4}\right)$$

Add 4 and 1 to get 5.

$$6\left(\frac{23}{6}-\frac{5}{4}\right)$$

Least common multiple of 6 and 4 is 12. Convert \frac{23}{6} and \frac{5}{4} to fractions with denominator 12.

$$6\left(\frac{46}{12}-\frac{15}{12}\right)$$

Since \frac{46}{12} and \frac{15}{12} have the same denominator, subtract them by subtracting their numerators.

$$6\times \frac{46-15}{12}$$

Subtract 15 from 46 to get 31.

$$6\times \frac{31}{12}$$

Express 6\times \frac{31}{12} as a single fraction.

$$\frac{6\times 31}{12}$$

Multiply 6 and 31 to get 186.

$$\frac{186}{12}$$

Reduce the fraction \frac{186}{12} to lowest terms by extracting and canceling out 6.

$$\frac{31}{2}$$

Factor

$$\frac{31}{2} = 15\frac{1}{2} = 15.5$$