Solve 1/1/470+1/10+1/4.7

$$\frac{ \frac{ 1 }{ 1 } }{ 470 } + \frac{ 1 }{ 10 } + \frac{ 1 }{ 4.7 }$$

Evaluate

$$\frac{74}{235}\approx 0.314893617$$

Solution Steps

Divide 1 by 1 to get 1.

$$\frac{1}{470}+\frac{1}{10}+\frac{1}{4.7}$$

Least common multiple of 470 and 10 is 470. Convert \frac{1}{470} and \frac{1}{10} to fractions with denominator 470.

$$\frac{1}{470}+\frac{47}{470}+\frac{1}{4.7}$$

Since \frac{1}{470} and \frac{47}{470} have the same denominator, add them by adding their numerators.

$$\frac{1+47}{470}+\frac{1}{4.7}$$

Add 1 and 47 to get 48.

$$\frac{48}{470}+\frac{1}{4.7}$$

Reduce the fraction \frac{48}{470} to lowest terms by extracting and canceling out 2.

$$\frac{24}{235}+\frac{1}{4.7}$$

Expand \frac{1}{4.7} by multiplying both numerator and the denominator by 10.

$$\frac{24}{235}+\frac{10}{47}$$

Least common multiple of 235 and 47 is 235. Convert \frac{24}{235} and \frac{10}{47} to fractions with denominator 235.

$$\frac{24}{235}+\frac{50}{235}$$

Since \frac{24}{235} and \frac{50}{235} have the same denominator, add them by adding their numerators.

$$\frac{24+50}{235}$$

Add 24 and 50 to get 74.

$$\frac{74}{235}$$

Factor

$$\frac{2 \cdot 37}{5 \cdot 47} = 0.3148936170212766$$