Solve 5/8*1/5+4/8*5/8

$$\frac { 5 } { 8 } \cdot \frac { 1 } { 5 } + \frac { 4 } { 8 } \cdot \frac { 5 } { 8 }$$

Evaluate

$$\frac{7}{16}=0.4375$$

Solution Steps

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

$$\frac{5\times 1}{8\times 5}+\frac{4}{8}\times \frac{5}{8}$$

Cancel out 5 in both numerator and denominator.

$$\frac{1}{8}+\frac{4}{8}\times \frac{5}{8}$$

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$\frac{1}{8}+\frac{1}{2}\times \frac{5}{8}$$

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

$$\frac{1}{8}+\frac{1\times 5}{2\times 8}$$

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

$$\frac{1}{8}+\frac{5}{16}$$

Least common multiple of 8 and 16 is 16. Convert \frac{1}{8} and \frac{5}{16} to fractions with denominator 16.

$$\frac{2}{16}+\frac{5}{16}$$

Since \frac{2}{16} and \frac{5}{16} have the same denominator, add them by adding their numerators.

$$\frac{2+5}{16}$$

Add 2 and 5 to get 7.

$$\frac{7}{16}$$

Factor

$$\frac{7}{2 ^ {4}} = 0.4375$$