Solve (+1/2)+4.1+(-1/4)+(-10.1)+7

$$( + \frac { 1 } { 2 } ) + 4.1 + ( - \frac { 1 } { 4 } ) + ( - 10.1 ) + 7$$

Evaluate

$$1.25$$

Solution Steps

Convert decimal number 4.1 to fraction \frac{41}{10}.

$$\frac{1}{2}+\frac{41}{10}-\frac{1}{4}-10.1+7$$

Least common multiple of 2 and 10 is 10. Convert \frac{1}{2} and \frac{41}{10} to fractions with denominator 10.

$$\frac{5}{10}+\frac{41}{10}-\frac{1}{4}-10.1+7$$

Since \frac{5}{10} and \frac{41}{10} have the same denominator, add them by adding their numerators.

$$\frac{5+41}{10}-\frac{1}{4}-10.1+7$$

Add 5 and 41 to get 46.

$$\frac{46}{10}-\frac{1}{4}-10.1+7$$

Reduce the fraction \frac{46}{10} to lowest terms by extracting and canceling out 2.

$$\frac{23}{5}-\frac{1}{4}-10.1+7$$

Least common multiple of 5 and 4 is 20. Convert \frac{23}{5} and \frac{1}{4} to fractions with denominator 20.

$$\frac{92}{20}-\frac{5}{20}-10.1+7$$

Since \frac{92}{20} and \frac{5}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{92-5}{20}-10.1+7$$

Subtract 5 from 92 to get 87.

$$\frac{87}{20}-10.1+7$$

Convert decimal number 10.1 to fraction \frac{101}{10}.

$$\frac{87}{20}-\frac{101}{10}+7$$

Least common multiple of 20 and 10 is 20. Convert \frac{87}{20} and \frac{101}{10} to fractions with denominator 20.

$$\frac{87}{20}-\frac{202}{20}+7$$

Since \frac{87}{20} and \frac{202}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{87-202}{20}+7$$

Subtract 202 from 87 to get -115.

$$\frac{-115}{20}+7$$

Reduce the fraction \frac{-115}{20} to lowest terms by extracting and canceling out 5.

$$-\frac{23}{4}+7$$

Convert 7 to fraction \frac{28}{4}.

$$-\frac{23}{4}+\frac{28}{4}$$

Since -\frac{23}{4} and \frac{28}{4} have the same denominator, add them by adding their numerators.

$$\frac{-23+28}{4}$$

Add -23 and 28 to get 5.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$