Solve 1/146+0.001/54+0.04/0.032+0.003/0.04+frac{1}{60}

$$\frac{ 1 }{ 146 } + \frac{ 0.001 }{ 54 } + \frac{ 0.04 }{ 0.032 } + \frac{ 0.003 }{ 0.04 } + \frac{ 1 }{ 60 }$$

Evaluate

$$\frac{5315923}{3942000}\approx 1.3485345$$

Solution Steps

Expand \frac{0.001}{54} by multiplying both numerator and the denominator by 1000.

$$\frac{1}{146}+\frac{1}{54000}+\frac{0.04}{0.032}+\frac{0.003}{0.04}+\frac{1}{60}$$

Least common multiple of 146 and 54000 is 3942000. Convert \frac{1}{146} and \frac{1}{54000} to fractions with denominator 3942000.

$$\frac{27000}{3942000}+\frac{73}{3942000}+\frac{0.04}{0.032}+\frac{0.003}{0.04}+\frac{1}{60}$$

Since \frac{27000}{3942000} and \frac{73}{3942000} have the same denominator, add them by adding their numerators.

$$\frac{27000+73}{3942000}+\frac{0.04}{0.032}+\frac{0.003}{0.04}+\frac{1}{60}$$

Add 27000 and 73 to get 27073.

$$\frac{27073}{3942000}+\frac{0.04}{0.032}+\frac{0.003}{0.04}+\frac{1}{60}$$

Expand \frac{0.04}{0.032} by multiplying both numerator and the denominator by 1000.

$$\frac{27073}{3942000}+\frac{40}{32}+\frac{0.003}{0.04}+\frac{1}{60}$$

Reduce the fraction \frac{40}{32} to lowest terms by extracting and canceling out 8.

$$\frac{27073}{3942000}+\frac{5}{4}+\frac{0.003}{0.04}+\frac{1}{60}$$

Least common multiple of 3942000 and 4 is 3942000. Convert \frac{27073}{3942000} and \frac{5}{4} to fractions with denominator 3942000.

$$\frac{27073}{3942000}+\frac{4927500}{3942000}+\frac{0.003}{0.04}+\frac{1}{60}$$

Since \frac{27073}{3942000} and \frac{4927500}{3942000} have the same denominator, add them by adding their numerators.

$$\frac{27073+4927500}{3942000}+\frac{0.003}{0.04}+\frac{1}{60}$$

Add 27073 and 4927500 to get 4954573.

$$\frac{4954573}{3942000}+\frac{0.003}{0.04}+\frac{1}{60}$$

Expand \frac{0.003}{0.04} by multiplying both numerator and the denominator by 1000.

$$\frac{4954573}{3942000}+\frac{3}{40}+\frac{1}{60}$$

Least common multiple of 3942000 and 40 is 3942000. Convert \frac{4954573}{3942000} and \frac{3}{40} to fractions with denominator 3942000.

$$\frac{4954573}{3942000}+\frac{295650}{3942000}+\frac{1}{60}$$

Since \frac{4954573}{3942000} and \frac{295650}{3942000} have the same denominator, add them by adding their numerators.

$$\frac{4954573+295650}{3942000}+\frac{1}{60}$$

Add 4954573 and 295650 to get 5250223.

$$\frac{5250223}{3942000}+\frac{1}{60}$$

Least common multiple of 3942000 and 60 is 3942000. Convert \frac{5250223}{3942000} and \frac{1}{60} to fractions with denominator 3942000.

$$\frac{5250223}{3942000}+\frac{65700}{3942000}$$

Since \frac{5250223}{3942000} and \frac{65700}{3942000} have the same denominator, add them by adding their numerators.

$$\frac{5250223+65700}{3942000}$$

Add 5250223 and 65700 to get 5315923.

$$\frac{5315923}{3942000}$$

Factor

$$\frac{311 \cdot 17093}{73 \cdot 2 ^ {4} \cdot 3 ^ {3} \cdot 5 ^ {3}} = 1\frac{1373923}{3942000} = 1.3485345002536784$$