Solve 1/4-0.24-0.4+3.6

$$\frac{ 1 }{ 4 } -0.24-0.4+3.6$$

Evaluate

$$3.21$$

Solution Steps

Convert decimal number 0.24 to fraction \frac{24}{100}. Reduce the fraction \frac{24}{100} to lowest terms by extracting and canceling out 4.

$$\frac{1}{4}-\frac{6}{25}-0.4+3.6$$

Least common multiple of 4 and 25 is 100. Convert \frac{1}{4} and \frac{6}{25} to fractions with denominator 100.

$$\frac{25}{100}-\frac{24}{100}-0.4+3.6$$

Since \frac{25}{100} and \frac{24}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-24}{100}-0.4+3.6$$

Subtract 24 from 25 to get 1.

$$\frac{1}{100}-0.4+3.6$$

Convert decimal number 0.4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{100}-\frac{2}{5}+3.6$$

Least common multiple of 100 and 5 is 100. Convert \frac{1}{100} and \frac{2}{5} to fractions with denominator 100.

$$\frac{1}{100}-\frac{40}{100}+3.6$$

Since \frac{1}{100} and \frac{40}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-40}{100}+3.6$$

Subtract 40 from 1 to get -39.

$$-\frac{39}{100}+3.6$$

Convert decimal number 3.6 to fraction \frac{36}{10}. Reduce the fraction \frac{36}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{39}{100}+\frac{18}{5}$$

Least common multiple of 100 and 5 is 100. Convert -\frac{39}{100} and \frac{18}{5} to fractions with denominator 100.

$$-\frac{39}{100}+\frac{360}{100}$$

Since -\frac{39}{100} and \frac{360}{100} have the same denominator, add them by adding their numerators.

$$\frac{-39+360}{100}$$

Add -39 and 360 to get 321.

$$\frac{321}{100}$$

Factor

$$\frac{3 \cdot 107}{2 ^ {2} \cdot 5 ^ {2}} = 3\frac{21}{100} = 3.21$$