Solve 2/5*1/8+2/3*9/10

$$\frac { 2 } { 5 } \cdot \frac { 1 } { 8 } + \frac { 2 } { 3 } \cdot \frac { 9 } { 10 }$$

Evaluate

$$\frac{13}{20}=0.65$$

Solution Steps

Multiply \frac{2}{5} times \frac{1}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 1}{5\times 8}+\frac{2}{3}\times \frac{9}{10}$$

Do the multiplications in the fraction \frac{2\times 1}{5\times 8}.

$$\frac{2}{40}+\frac{2}{3}\times \frac{9}{10}$$

Reduce the fraction \frac{2}{40} to lowest terms by extracting and canceling out 2.

$$\frac{1}{20}+\frac{2}{3}\times \frac{9}{10}$$

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

$$\frac{1}{20}+\frac{2\times 9}{3\times 10}$$

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

$$\frac{1}{20}+\frac{18}{30}$$

Reduce the fraction \frac{18}{30} to lowest terms by extracting and canceling out 6.

$$\frac{1}{20}+\frac{3}{5}$$

Least common multiple of 20 and 5 is 20. Convert \frac{1}{20} and \frac{3}{5} to fractions with denominator 20.

$$\frac{1}{20}+\frac{12}{20}$$

Since \frac{1}{20} and \frac{12}{20} have the same denominator, add them by adding their numerators.

$$\frac{1+12}{20}$$

Add 1 and 12 to get 13.

$$\frac{13}{20}$$

Factor

$$\frac{13}{2 ^ {2} \cdot 5} = 0.65$$