Solve 1/4-8.7-3.25+7/10

$$\frac{ 1 }{ 4 } -8.7-3.25+ \frac{ 7 }{ 10 }$$

Evaluate

$$-11$$

Solution Steps

Convert decimal number 8.7 to fraction \frac{87}{10}.

$$\frac{1}{4}-\frac{87}{10}-3.25+\frac{7}{10}$$

Least common multiple of 4 and 10 is 20. Convert \frac{1}{4} and \frac{87}{10} to fractions with denominator 20.

$$\frac{5}{20}-\frac{174}{20}-3.25+\frac{7}{10}$$

Since \frac{5}{20} and \frac{174}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-174}{20}-3.25+\frac{7}{10}$$

Subtract 174 from 5 to get -169.

$$-\frac{169}{20}-3.25+\frac{7}{10}$$

Convert decimal number 3.25 to fraction \frac{325}{100}. Reduce the fraction \frac{325}{100} to lowest terms by extracting and canceling out 25.

$$-\frac{169}{20}-\frac{13}{4}+\frac{7}{10}$$

Least common multiple of 20 and 4 is 20. Convert -\frac{169}{20} and \frac{13}{4} to fractions with denominator 20.

$$-\frac{169}{20}-\frac{65}{20}+\frac{7}{10}$$

Since -\frac{169}{20} and \frac{65}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-169-65}{20}+\frac{7}{10}$$

Subtract 65 from -169 to get -234.

$$\frac{-234}{20}+\frac{7}{10}$$

Reduce the fraction \frac{-234}{20} to lowest terms by extracting and canceling out 2.

$$-\frac{117}{10}+\frac{7}{10}$$

Since -\frac{117}{10} and \frac{7}{10} have the same denominator, add them by adding their numerators.

$$\frac{-117+7}{10}$$

Add -117 and 7 to get -110.

$$\frac{-110}{10}$$

Divide -110 by 10 to get -11.

$$-11$$

Factor

$$-11$$