Solve 3/10+2/3*3,6

$$\frac { 3 } { 10 } + \frac { 2 } { 3 } \cdot 3,6$$

Evaluate

$$2,7$$

Solution Steps

Convert decimal number 3,6 to fraction \frac{36}{10}. Reduce the fraction \frac{36}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{10}+\frac{2}{3}\times \frac{18}{5}$$

Multiply \frac{2}{3} times \frac{18}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{10}+\frac{2\times 18}{3\times 5}$$

Do the multiplications in the fraction \frac{2\times 18}{3\times 5}.

$$\frac{3}{10}+\frac{36}{15}$$

Reduce the fraction \frac{36}{15} to lowest terms by extracting and canceling out 3.

$$\frac{3}{10}+\frac{12}{5}$$

Least common multiple of 10 and 5 is 10. Convert \frac{3}{10} and \frac{12}{5} to fractions with denominator 10.

$$\frac{3}{10}+\frac{24}{10}$$

Since \frac{3}{10} and \frac{24}{10} have the same denominator, add them by adding their numerators.

$$\frac{3+24}{10}$$

Add 3 and 24 to get 27.

$$\frac{27}{10}$$

Factor

$$\frac{3 ^ {3}}{2 \cdot 5} = 2\frac{7}{10} = 2.7$$