Solve 37/99+1/10

$$\frac{ 37 }{ 99 } + \frac{ 1 }{ 10 }$$

Evaluate

$$\frac{469}{990}\approx 0.473737374$$

Solution Steps

Least common multiple of 99 and 10 is 990. Convert \frac{37}{99} and \frac{1}{10} to fractions with denominator 990.

$$\frac{370}{990}+\frac{99}{990}$$

Since \frac{370}{990} and \frac{99}{990} have the same denominator, add them by adding their numerators.

$$\frac{370+99}{990}$$

Add 370 and 99 to get 469.

$$\frac{469}{990}$$

Factor

$$\frac{7 \cdot 67}{2 \cdot 3 ^ {2} \cdot 5 \cdot 11} = 0.47373737373737373$$