Solve 0.8112div9*2+0.9182div3

$$0.8112 \div 9 \times 2+0.9182 \div 3$$

Evaluate

$$\frac{1459}{3000}\approx 0.486333333$$

Solution Steps

Expand \frac{0.8112}{9} by multiplying both numerator and the denominator by 10000.

$$\frac{8112}{90000}\times 2+\frac{0.9182}{3}$$

Reduce the fraction \frac{8112}{90000} to lowest terms by extracting and canceling out 48.

$$\frac{169}{1875}\times 2+\frac{0.9182}{3}$$

Express \frac{169}{1875}\times 2 as a single fraction.

$$\frac{169\times 2}{1875}+\frac{0.9182}{3}$$

Multiply 169 and 2 to get 338.

$$\frac{338}{1875}+\frac{0.9182}{3}$$

Expand \frac{0.9182}{3} by multiplying both numerator and the denominator by 10000.

$$\frac{338}{1875}+\frac{9182}{30000}$$

Reduce the fraction \frac{9182}{30000} to lowest terms by extracting and canceling out 2.

$$\frac{338}{1875}+\frac{4591}{15000}$$

Least common multiple of 1875 and 15000 is 15000. Convert \frac{338}{1875} and \frac{4591}{15000} to fractions with denominator 15000.

$$\frac{2704}{15000}+\frac{4591}{15000}$$

Since \frac{2704}{15000} and \frac{4591}{15000} have the same denominator, add them by adding their numerators.

$$\frac{2704+4591}{15000}$$

Add 2704 and 4591 to get 7295.

$$\frac{7295}{15000}$$

Reduce the fraction \frac{7295}{15000} to lowest terms by extracting and canceling out 5.

$$\frac{1459}{3000}$$

Factor

$$\frac{1459}{3 \cdot 2 ^ {3} \cdot 5 ^ {3}} = 0.48633333333333334$$