Solve 4,3-3,5+1,44:3,6+3,6:1,44*(0,1-0,02)

$$4,3 - 3,5 + 1,44 : 3,6 + 3,6 : 1,44 \cdot ( 0,1 - 0,02 )$$

Evaluate

$$1,4$$

Solution Steps

Subtract 3,5 from 4,3 to get 0,8.

$$0,8+\frac{1,44}{3,6}+\frac{3,6}{1,44}\left(0,1-0,02\right)$$

Expand \frac{1,44}{3,6} by multiplying both numerator and the denominator by 100.

$$0,8+\frac{144}{360}+\frac{3,6}{1,44}\left(0,1-0,02\right)$$

Reduce the fraction \frac{144}{360} to lowest terms by extracting and canceling out 72.

$$0,8+\frac{2}{5}+\frac{3,6}{1,44}\left(0,1-0,02\right)$$

Convert decimal number 0,8 to fraction \frac{8}{10}. Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}+\frac{2}{5}+\frac{3,6}{1,44}\left(0,1-0,02\right)$$

Since \frac{4}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$\frac{4+2}{5}+\frac{3,6}{1,44}\left(0,1-0,02\right)$$

Add 4 and 2 to get 6.

$$\frac{6}{5}+\frac{3,6}{1,44}\left(0,1-0,02\right)$$

Expand \frac{3,6}{1,44} by multiplying both numerator and the denominator by 100.

$$\frac{6}{5}+\frac{360}{144}\left(0,1-0,02\right)$$

Reduce the fraction \frac{360}{144} to lowest terms by extracting and canceling out 72.

$$\frac{6}{5}+\frac{5}{2}\left(0,1-0,02\right)$$

Subtract 0,02 from 0,1 to get 0,08.

$$\frac{6}{5}+\frac{5}{2}\times 0,08$$

Convert decimal number 0,08 to fraction \frac{8}{100}. Reduce the fraction \frac{8}{100} to lowest terms by extracting and canceling out 4.

$$\frac{6}{5}+\frac{5}{2}\times \frac{2}{25}$$

Multiply \frac{5}{2} times \frac{2}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6}{5}+\frac{5\times 2}{2\times 25}$$

Cancel out 2 in both numerator and denominator.

$$\frac{6}{5}+\frac{5}{25}$$

Reduce the fraction \frac{5}{25} to lowest terms by extracting and canceling out 5.

$$\frac{6}{5}+\frac{1}{5}$$

Since \frac{6}{5} and \frac{1}{5} have the same denominator, add them by adding their numerators.

$$\frac{6+1}{5}$$

Add 6 and 1 to get 7.

$$\frac{7}{5}$$

Factor

$$\frac{7}{5} = 1\frac{2}{5} = 1.4$$