Solve 1/5+2/9*3/10

$$\frac { 1 } { 5 } + \frac { 2 } { 9 } \times \frac { 3 } { 10 }$$

Evaluate

$$\frac{4}{15}\approx 0.266666667$$

Solution Steps

Multiply \frac{2}{9} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{5}+\frac{2\times 3}{9\times 10}$$

Do the multiplications in the fraction \frac{2\times 3}{9\times 10}.

$$\frac{1}{5}+\frac{6}{90}$$

Reduce the fraction \frac{6}{90} to lowest terms by extracting and canceling out 6.

$$\frac{1}{5}+\frac{1}{15}$$

Least common multiple of 5 and 15 is 15. Convert \frac{1}{5} and \frac{1}{15} to fractions with denominator 15.

$$\frac{3}{15}+\frac{1}{15}$$

Since \frac{3}{15} and \frac{1}{15} have the same denominator, add them by adding their numerators.

$$\frac{3+1}{15}$$

Add 3 and 1 to get 4.

$$\frac{4}{15}$$

Factor

$$\frac{2 ^ {2}}{3 \cdot 5} = 0.26666666666666666$$