Solve 71/30-85/6

$$7 \frac { 1 } { 30 } - 8 \frac { 5 } { 6 }$$

Evaluate

$$-\frac{9}{5}=-1.8$$

Solution Steps

Multiply 7 and 30 to get 210.

$$\frac{210+1}{30}-\frac{8\times 6+5}{6}$$

Add 210 and 1 to get 211.

$$\frac{211}{30}-\frac{8\times 6+5}{6}$$

Multiply 8 and 6 to get 48.

$$\frac{211}{30}-\frac{48+5}{6}$$

Add 48 and 5 to get 53.

$$\frac{211}{30}-\frac{53}{6}$$

Least common multiple of 30 and 6 is 30. Convert \frac{211}{30} and \frac{53}{6} to fractions with denominator 30.

$$\frac{211}{30}-\frac{265}{30}$$

Since \frac{211}{30} and \frac{265}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{211-265}{30}$$

Subtract 265 from 211 to get -54.

$$\frac{-54}{30}$$

Reduce the fraction \frac{-54}{30} to lowest terms by extracting and canceling out 6.

$$-\frac{9}{5}$$

Factor

$$-\frac{9}{5} = -1\frac{4}{5} = -1.8$$