Solve 1/2*3/5+13/2*2/5

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

Evaluate

$$\frac{13}{10}=1.3$$

Solution Steps

Multiply \frac{1}{2} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 3}{2\times 5}.

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

Multiply 1 and 2 to get 2.

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

Add 2 and 3 to get 5.

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

Cancel out \frac{5}{2} and its reciprocal \frac{2}{5}.

$$\frac{3}{10}+1$$

Convert 1 to fraction \frac{10}{10}.

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

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

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

Add 3 and 10 to get 13.

$$\frac{13}{10}$$

Factor

$$\frac{13}{2 \cdot 5} = 1\frac{3}{10} = 1.3$$