Solve [(166/365)+28*(2+1]*(23/50))+0005=

$$[ ( 166 / 365 ) + 28 \times ( 2 + 1 ] \times ( 23 / 50 ) ) + 0005 =$$

Evaluate

$$\frac{71348}{1825}\approx 39.094794521$$

Solution Steps

Add 2 and 1 to get 3.

$$\frac{166}{365}+28\times 3\times \frac{23}{50}+0\times 0\times 0\times 5$$

Multiply 28 and 3 to get 84.

$$\frac{166}{365}+84\times \frac{23}{50}+0\times 0\times 0\times 5$$

Express 84\times \frac{23}{50} as a single fraction.

$$\frac{166}{365}+\frac{84\times 23}{50}+0\times 0\times 0\times 5$$

Multiply 84 and 23 to get 1932.

$$\frac{166}{365}+\frac{1932}{50}+0\times 0\times 0\times 5$$

Reduce the fraction \frac{1932}{50} to lowest terms by extracting and canceling out 2.

$$\frac{166}{365}+\frac{966}{25}+0\times 0\times 0\times 5$$

Least common multiple of 365 and 25 is 1825. Convert \frac{166}{365} and \frac{966}{25} to fractions with denominator 1825.

$$\frac{830}{1825}+\frac{70518}{1825}+0\times 0\times 0\times 5$$

Since \frac{830}{1825} and \frac{70518}{1825} have the same denominator, add them by adding their numerators.

$$\frac{830+70518}{1825}+0\times 0\times 0\times 5$$

Add 830 and 70518 to get 71348.

$$\frac{71348}{1825}+0\times 0\times 0\times 5$$

Multiply 0 and 0 to get 0.

$$\frac{71348}{1825}+0\times 0\times 5$$

Multiply 0 and 0 to get 0.

$$\frac{71348}{1825}+0\times 5$$

Multiply 0 and 5 to get 0.

$$\frac{71348}{1825}+0$$

Add \frac{71348}{1825} and 0 to get \frac{71348}{1825}.

$$\frac{71348}{1825}$$

Factor

$$\frac{2 ^ {2} \cdot 17837}{5 ^ {2} \cdot 73} = 39\frac{173}{1825} = 39.09479452054794$$