Solve 1.25+(3-1.25div2.5)*0.4

$$1.25+(3-1.25 \div 2.5) \times 0.4$$

Evaluate

$$2.25$$

Solution Steps

Expand \frac{1.25}{2.5} by multiplying both numerator and the denominator by 100.

$$1.25+\left(3-\frac{125}{250}\right)\times 0.4$$

Reduce the fraction \frac{125}{250} to lowest terms by extracting and canceling out 125.

$$1.25+\left(3-\frac{1}{2}\right)\times 0.4$$

Convert 3 to fraction \frac{6}{2}.

$$1.25+\left(\frac{6}{2}-\frac{1}{2}\right)\times 0.4$$

Since \frac{6}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$1.25+\frac{6-1}{2}\times 0.4$$

Subtract 1 from 6 to get 5.

$$1.25+\frac{5}{2}\times 0.4$$

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.

$$1.25+\frac{5}{2}\times \frac{2}{5}$$

Cancel out \frac{5}{2} and its reciprocal \frac{2}{5}.

$$1.25+1$$

Add 1.25 and 1 to get 2.25.

$$2.25$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2}} = 2\frac{1}{4} = 2.25$$