Solve 7.8-81/4=

$$7.8 - 8 \frac { 1 } { 4 } =$$

Evaluate

$$-0.45$$

Solution Steps

Multiply 8 and 4 to get 32.

$$7.8-\frac{32+1}{4}$$

Add 32 and 1 to get 33.

$$7.8-\frac{33}{4}$$

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.

$$\frac{39}{5}-\frac{33}{4}$$

Least common multiple of 5 and 4 is 20. Convert \frac{39}{5} and \frac{33}{4} to fractions with denominator 20.

$$\frac{156}{20}-\frac{165}{20}$$

Since \frac{156}{20} and \frac{165}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{156-165}{20}$$

Subtract 165 from 156 to get -9.

$$-\frac{9}{20}$$

Factor

$$-0.45$$