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

$$\frac { 1 } { 2 } \cdot \frac { 3 } { 10 } + \frac { 3 } { 5 } =$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Multiply \frac{1}{2} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 3}{2\times 10}.

$$\frac{3}{20}+\frac{3}{5}$$

Least common multiple of 20 and 5 is 20. Convert \frac{3}{20} and \frac{3}{5} to fractions with denominator 20.

$$\frac{3}{20}+\frac{12}{20}$$

Since \frac{3}{20} and \frac{12}{20} have the same denominator, add them by adding their numerators.

$$\frac{3+12}{20}$$

Add 3 and 12 to get 15.

$$\frac{15}{20}$$

Reduce the fraction \frac{15}{20} to lowest terms by extracting and canceling out 5.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$