Solve 2/5-11/4+4.5+25%

$$\frac { 2 } { 5 } - 1 \frac { 1 } { 4 } + 4.5 + 25 \%$$

Evaluate

$$3.9$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{2}{5}-\frac{4+1}{4}+4.5+\frac{25}{100}$$

Add 4 and 1 to get 5.

$$\frac{2}{5}-\frac{5}{4}+4.5+\frac{25}{100}$$

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

$$\frac{8}{20}-\frac{25}{20}+4.5+\frac{25}{100}$$

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

$$\frac{8-25}{20}+4.5+\frac{25}{100}$$

Subtract 25 from 8 to get -17.

$$-\frac{17}{20}+4.5+\frac{25}{100}$$

Convert decimal number 4.5 to fraction \frac{45}{10}. Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{17}{20}+\frac{9}{2}+\frac{25}{100}$$

Least common multiple of 20 and 2 is 20. Convert -\frac{17}{20} and \frac{9}{2} to fractions with denominator 20.

$$-\frac{17}{20}+\frac{90}{20}+\frac{25}{100}$$

Since -\frac{17}{20} and \frac{90}{20} have the same denominator, add them by adding their numerators.

$$\frac{-17+90}{20}+\frac{25}{100}$$

Add -17 and 90 to get 73.

$$\frac{73}{20}+\frac{25}{100}$$

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

$$\frac{73}{20}+\frac{1}{4}$$

Least common multiple of 20 and 4 is 20. Convert \frac{73}{20} and \frac{1}{4} to fractions with denominator 20.

$$\frac{73}{20}+\frac{5}{20}$$

Since \frac{73}{20} and \frac{5}{20} have the same denominator, add them by adding their numerators.

$$\frac{73+5}{20}$$

Add 73 and 5 to get 78.

$$\frac{78}{20}$$

Reduce the fraction \frac{78}{20} to lowest terms by extracting and canceling out 2.

$$\frac{39}{10}$$

Factor

$$\frac{3 \cdot 13}{2 \cdot 5} = 3\frac{9}{10} = 3.9$$