Solve [(166/365)+28*(2+1]*(2.3/50))+0.005=

$$[ ( 166 / 365 ) + 28 \times ( 2 + 1 ] \times ( 2.3 / 50 ) ) + 0.005 =$$

Evaluate

$$\frac{315637}{73000}\approx 4.323794521$$

Solution Steps

Add 2 and 1 to get 3.

$$\frac{166}{365}+28\times 3\times \frac{2.3}{50}+0.005$$

Multiply 28 and 3 to get 84.

$$\frac{166}{365}+84\times \frac{2.3}{50}+0.005$$

Expand \frac{2.3}{50} by multiplying both numerator and the denominator by 10.

$$\frac{166}{365}+84\times \frac{23}{500}+0.005$$

Express 84\times \frac{23}{500} as a single fraction.

$$\frac{166}{365}+\frac{84\times 23}{500}+0.005$$

Multiply 84 and 23 to get 1932.

$$\frac{166}{365}+\frac{1932}{500}+0.005$$

Reduce the fraction \frac{1932}{500} to lowest terms by extracting and canceling out 4.

$$\frac{166}{365}+\frac{483}{125}+0.005$$

Least common multiple of 365 and 125 is 9125. Convert \frac{166}{365} and \frac{483}{125} to fractions with denominator 9125.

$$\frac{4150}{9125}+\frac{35259}{9125}+0.005$$

Since \frac{4150}{9125} and \frac{35259}{9125} have the same denominator, add them by adding their numerators.

$$\frac{4150+35259}{9125}+0.005$$

Add 4150 and 35259 to get 39409.

$$\frac{39409}{9125}+0.005$$

Convert decimal number 0.005 to fraction \frac{5}{1000}. Reduce the fraction \frac{5}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{39409}{9125}+\frac{1}{200}$$

Least common multiple of 9125 and 200 is 73000. Convert \frac{39409}{9125} and \frac{1}{200} to fractions with denominator 73000.

$$\frac{315272}{73000}+\frac{365}{73000}$$

Since \frac{315272}{73000} and \frac{365}{73000} have the same denominator, add them by adding their numerators.

$$\frac{315272+365}{73000}$$

Add 315272 and 365 to get 315637.

$$\frac{315637}{73000}$$

Factor

$$\frac{7 \cdot 67 \cdot 673}{73 \cdot 2 ^ {3} \cdot 5 ^ {3}} = 4\frac{23637}{73000} = 4.3237945205479456$$