Solve 1,5:6*8:5+5,3-3,8

$$1,5 : 6 \cdot 8 : 5 + 5,3 - 3,8$$

Evaluate

$$1,9$$

Solution Steps

Expand \frac{1,5}{6} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{15}{60}\times 8}{5}+5,3-3,8$$

Reduce the fraction \frac{15}{60} to lowest terms by extracting and canceling out 15.

$$\frac{\frac{1}{4}\times 8}{5}+5,3-3,8$$

Multiply \frac{1}{4} and 8 to get \frac{8}{4}.

$$\frac{\frac{8}{4}}{5}+5,3-3,8$$

Divide 8 by 4 to get 2.

$$\frac{2}{5}+5,3-3,8$$

Convert decimal number 5,3 to fraction \frac{53}{10}.

$$\frac{2}{5}+\frac{53}{10}-3,8$$

Least common multiple of 5 and 10 is 10. Convert \frac{2}{5} and \frac{53}{10} to fractions with denominator 10.

$$\frac{4}{10}+\frac{53}{10}-3,8$$

Since \frac{4}{10} and \frac{53}{10} have the same denominator, add them by adding their numerators.

$$\frac{4+53}{10}-3,8$$

Add 4 and 53 to get 57.

$$\frac{57}{10}-3,8$$

Convert decimal number 3,8 to fraction \frac{38}{10}. Reduce the fraction \frac{38}{10} to lowest terms by extracting and canceling out 2.

$$\frac{57}{10}-\frac{19}{5}$$

Least common multiple of 10 and 5 is 10. Convert \frac{57}{10} and \frac{19}{5} to fractions with denominator 10.

$$\frac{57}{10}-\frac{38}{10}$$

Since \frac{57}{10} and \frac{38}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{57-38}{10}$$

Subtract 38 from 57 to get 19.

$$\frac{19}{10}$$

Factor

$$\frac{19}{2 \cdot 5} = 1\frac{9}{10} = 1.9$$