Solve 125/6-71/3

$$12 \frac { 5 } { 6 } - 7 \frac { 1 } { 3 }$$

Evaluate

$$\frac{11}{2}=5.5$$

Solution Steps

Multiply 12 and 6 to get 72.

$$\frac{72+5}{6}-\frac{7\times 3+1}{3}$$

Add 72 and 5 to get 77.

$$\frac{77}{6}-\frac{7\times 3+1}{3}$$

Multiply 7 and 3 to get 21.

$$\frac{77}{6}-\frac{21+1}{3}$$

Add 21 and 1 to get 22.

$$\frac{77}{6}-\frac{22}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{77}{6} and \frac{22}{3} to fractions with denominator 6.

$$\frac{77}{6}-\frac{44}{6}$$

Since \frac{77}{6} and \frac{44}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{77-44}{6}$$

Subtract 44 from 77 to get 33.

$$\frac{33}{6}$$

Reduce the fraction \frac{33}{6} to lowest terms by extracting and canceling out 3.

$$\frac{11}{2}$$

Factor

$$\frac{11}{2} = 5\frac{1}{2} = 5.5$$