Solve 0.8*4-0.75:0.25+1.5*0.2-0.4:2

$$0.8 \times 4 - 0.75 : 0.25 + 1.5 \times 0.2 - 0.4 : 2$$

Evaluate

$$0.3$$

Solution Steps

Multiply 0.8 and 4 to get 3.2.

$$3.2-\frac{0.75}{0.25}+1.5\times 0.2-\frac{0.4}{2}$$

Expand \frac{0.75}{0.25} by multiplying both numerator and the denominator by 100.

$$3.2-\frac{75}{25}+1.5\times 0.2-\frac{0.4}{2}$$

Divide 75 by 25 to get 3.

$$3.2-3+1.5\times 0.2-\frac{0.4}{2}$$

Subtract 3 from 3.2 to get 0.2.

$$0.2+1.5\times 0.2-\frac{0.4}{2}$$

Multiply 1.5 and 0.2 to get 0.3.

$$0.2+0.3-\frac{0.4}{2}$$

Add 0.2 and 0.3 to get 0.5.

$$0.5-\frac{0.4}{2}$$

Expand \frac{0.4}{2} by multiplying both numerator and the denominator by 10.

$$0.5-\frac{4}{20}$$

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

$$0.5-\frac{1}{5}$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}-\frac{1}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{1}{5} to fractions with denominator 10.

$$\frac{5}{10}-\frac{2}{10}$$

Since \frac{5}{10} and \frac{2}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-2}{10}$$

Subtract 2 from 5 to get 3.

$$\frac{3}{10}$$

Factor

$$\frac{3}{2 \cdot 5} = 0.3$$