Solve 3/11+0.63

$$\frac { 3 } { 11 } + 0.63$$

Evaluate

$$\frac{993}{1100}\approx 0.902727273$$

Solution Steps

Convert decimal number 0.63 to fraction \frac{63}{100}.

$$\frac{3}{11}+\frac{63}{100}$$

Least common multiple of 11 and 100 is 1100. Convert \frac{3}{11} and \frac{63}{100} to fractions with denominator 1100.

$$\frac{300}{1100}+\frac{693}{1100}$$

Since \frac{300}{1100} and \frac{693}{1100} have the same denominator, add them by adding their numerators.

$$\frac{300+693}{1100}$$

Add 300 and 693 to get 993.

$$\frac{993}{1100}$$

Factor

$$\frac{3 \cdot 331}{11 \cdot 2 ^ {2} \cdot 5 ^ {2}} = 0.9027272727272727$$