Solve 8/10*2/10+3/10*0,72/10

$$\frac { 8 } { 10 } \cdot \frac { 2 } { 10 } + \frac { 3 } { 10 } \cdot \frac { 0,72 } { 10 }$$

Evaluate

$$0,1816$$

Solution Steps

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}\times \frac{2}{10}+\frac{3}{10}\times \frac{0,72}{10}$$

Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}\times \frac{1}{5}+\frac{3}{10}\times \frac{0,72}{10}$$

Multiply \frac{4}{5} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 1}{5\times 5}+\frac{3}{10}\times \frac{0,72}{10}$$

Do the multiplications in the fraction \frac{4\times 1}{5\times 5}.

$$\frac{4}{25}+\frac{3}{10}\times \frac{0,72}{10}$$

Expand \frac{0,72}{10} by multiplying both numerator and the denominator by 100.

$$\frac{4}{25}+\frac{3}{10}\times \frac{72}{1000}$$

Reduce the fraction \frac{72}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{4}{25}+\frac{3}{10}\times \frac{9}{125}$$

Multiply \frac{3}{10} times \frac{9}{125} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4}{25}+\frac{3\times 9}{10\times 125}$$

Do the multiplications in the fraction \frac{3\times 9}{10\times 125}.

$$\frac{4}{25}+\frac{27}{1250}$$

Least common multiple of 25 and 1250 is 1250. Convert \frac{4}{25} and \frac{27}{1250} to fractions with denominator 1250.

$$\frac{200}{1250}+\frac{27}{1250}$$

Since \frac{200}{1250} and \frac{27}{1250} have the same denominator, add them by adding their numerators.

$$\frac{200+27}{1250}$$

Add 200 and 27 to get 227.

$$\frac{227}{1250}$$

Factor

$$\frac{227}{2 \cdot 5 ^ {4}} = 0.1816$$