Solve 1/32-7.8

$$\frac { 1 } { 32 } - 7.8$$

Evaluate

$$-7.76875$$

Solution Steps

Convert decimal number 7.8 to fraction \frac{78}{10}. Reduce the fraction \frac{78}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{32}-\frac{39}{5}$$

Least common multiple of 32 and 5 is 160. Convert \frac{1}{32} and \frac{39}{5} to fractions with denominator 160.

$$\frac{5}{160}-\frac{1248}{160}$$

Since \frac{5}{160} and \frac{1248}{160} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-1248}{160}$$

Subtract 1248 from 5 to get -1243.

$$-\frac{1243}{160}$$

Factor

$$-7.76875$$