Solve 5%*4/9+1/8*5/9

$$5 \% \times \frac { 4 } { 9 } + \frac { 1 } { 8 } \times \frac { 5 } { 9 }$$

Evaluate

$$\frac{11}{120}\approx 0.091666667$$

Solution Steps

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\frac{1}{20}\times \frac{4}{9}+\frac{1}{8}\times \frac{5}{9}$$

Multiply \frac{1}{20} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 4}{20\times 9}+\frac{1}{8}\times \frac{5}{9}$$

Do the multiplications in the fraction \frac{1\times 4}{20\times 9}.

$$\frac{4}{180}+\frac{1}{8}\times \frac{5}{9}$$

Reduce the fraction \frac{4}{180} to lowest terms by extracting and canceling out 4.

$$\frac{1}{45}+\frac{1}{8}\times \frac{5}{9}$$

Multiply \frac{1}{8} times \frac{5}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{45}+\frac{1\times 5}{8\times 9}$$

Do the multiplications in the fraction \frac{1\times 5}{8\times 9}.

$$\frac{1}{45}+\frac{5}{72}$$

Least common multiple of 45 and 72 is 360. Convert \frac{1}{45} and \frac{5}{72} to fractions with denominator 360.

$$\frac{8}{360}+\frac{25}{360}$$

Since \frac{8}{360} and \frac{25}{360} have the same denominator, add them by adding their numerators.

$$\frac{8+25}{360}$$

Add 8 and 25 to get 33.

$$\frac{33}{360}$$

Reduce the fraction \frac{33}{360} to lowest terms by extracting and canceling out 3.

$$\frac{11}{120}$$

Factor

$$\frac{11}{2 ^ {3} \cdot 3 \cdot 5} = 0.09166666666666666$$