Solve 75/6-101/3

$$7 \frac { 5 } { 6 } - 10 \frac { 1 } { 3 }$$

Evaluate

$$-\frac{5}{2}=-2.5$$

Solution Steps

Multiply 7 and 6 to get 42.

$$\frac{42+5}{6}-\frac{10\times 3+1}{3}$$

Add 42 and 5 to get 47.

$$\frac{47}{6}-\frac{10\times 3+1}{3}$$

Multiply 10 and 3 to get 30.

$$\frac{47}{6}-\frac{30+1}{3}$$

Add 30 and 1 to get 31.

$$\frac{47}{6}-\frac{31}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{47}{6} and \frac{31}{3} to fractions with denominator 6.

$$\frac{47}{6}-\frac{62}{6}$$

Since \frac{47}{6} and \frac{62}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{47-62}{6}$$

Subtract 62 from 47 to get -15.

$$\frac{-15}{6}$$

Reduce the fraction \frac{-15}{6} to lowest terms by extracting and canceling out 3.

$$-\frac{5}{2}$$

Factor

$$-\frac{5}{2} = -2\frac{1}{2} = -2.5$$