Solve 2/5-11/4+45+25%

$$\frac { 2 } { 5 } - 1 \frac { 1 } { 4 } + 45 + 25 \%$$

Evaluate

$$\frac{222}{5}=44.4$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{2}{5}-\frac{4+1}{4}+45+\frac{25}{100}$$

Add 4 and 1 to get 5.

$$\frac{2}{5}-\frac{5}{4}+45+\frac{25}{100}$$

Least common multiple of 5 and 4 is 20. Convert \frac{2}{5} and \frac{5}{4} to fractions with denominator 20.

$$\frac{8}{20}-\frac{25}{20}+45+\frac{25}{100}$$

Since \frac{8}{20} and \frac{25}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-25}{20}+45+\frac{25}{100}$$

Subtract 25 from 8 to get -17.

$$-\frac{17}{20}+45+\frac{25}{100}$$

Convert 45 to fraction \frac{900}{20}.

$$-\frac{17}{20}+\frac{900}{20}+\frac{25}{100}$$

Since -\frac{17}{20} and \frac{900}{20} have the same denominator, add them by adding their numerators.

$$\frac{-17+900}{20}+\frac{25}{100}$$

Add -17 and 900 to get 883.

$$\frac{883}{20}+\frac{25}{100}$$

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{883}{20}+\frac{1}{4}$$

Least common multiple of 20 and 4 is 20. Convert \frac{883}{20} and \frac{1}{4} to fractions with denominator 20.

$$\frac{883}{20}+\frac{5}{20}$$

Since \frac{883}{20} and \frac{5}{20} have the same denominator, add them by adding their numerators.

$$\frac{883+5}{20}$$

Add 883 and 5 to get 888.

$$\frac{888}{20}$$

Reduce the fraction \frac{888}{20} to lowest terms by extracting and canceling out 4.

$$\frac{222}{5}$$

Factor

$$\frac{2 \cdot 3 \cdot 37}{5} = 44\frac{2}{5} = 44.4$$