Solve 1/9+1/4*1/5

$$\frac { 1 } { 9 } + \frac { 1 } { 4 } \cdot \frac { 1 } { 5 }$$

Evaluate

$$\frac{29}{180}\approx 0.161111111$$

Solution Steps

Multiply \frac{1}{4} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{9}+\frac{1\times 1}{4\times 5}$$

Do the multiplications in the fraction \frac{1\times 1}{4\times 5}.

$$\frac{1}{9}+\frac{1}{20}$$

Least common multiple of 9 and 20 is 180. Convert \frac{1}{9} and \frac{1}{20} to fractions with denominator 180.

$$\frac{20}{180}+\frac{9}{180}$$

Since \frac{20}{180} and \frac{9}{180} have the same denominator, add them by adding their numerators.

$$\frac{20+9}{180}$$

Add 20 and 9 to get 29.

$$\frac{29}{180}$$

Factor

$$\frac{29}{2 ^ {2} \cdot 3 ^ {2} \cdot 5} = 0.16111111111111112$$