Solve 1/9+1/5*1/8

$$\frac { 1 } { 9 } + \frac { 1 } { 5 } \cdot \frac { 1 } { 8 }$$

Evaluate

$$\frac{49}{360}\approx 0.136111111$$

Solution Steps

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

$$\frac{1}{9}+\frac{1\times 1}{5\times 8}$$

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

$$\frac{1}{9}+\frac{1}{40}$$

Least common multiple of 9 and 40 is 360. Convert \frac{1}{9} and \frac{1}{40} to fractions with denominator 360.

$$\frac{40}{360}+\frac{9}{360}$$

Since \frac{40}{360} and \frac{9}{360} have the same denominator, add them by adding their numerators.

$$\frac{40+9}{360}$$

Add 40 and 9 to get 49.

$$\frac{49}{360}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {3} \cdot 3 ^ {2} \cdot 5} = 0.1361111111111111$$