Solve 18/63+3/24

$$\frac { 18 } { 63 } + \frac { 3 } { 24 }$$

Evaluate

$$\frac{23}{56}\approx 0.410714286$$

Solution Steps

Reduce the fraction \frac{18}{63} to lowest terms by extracting and canceling out 9.

$$\frac{2}{7}+\frac{3}{24}$$

Reduce the fraction \frac{3}{24} to lowest terms by extracting and canceling out 3.

$$\frac{2}{7}+\frac{1}{8}$$

Least common multiple of 7 and 8 is 56. Convert \frac{2}{7} and \frac{1}{8} to fractions with denominator 56.

$$\frac{16}{56}+\frac{7}{56}$$

Since \frac{16}{56} and \frac{7}{56} have the same denominator, add them by adding their numerators.

$$\frac{16+7}{56}$$

Add 16 and 7 to get 23.

$$\frac{23}{56}$$

Factor

$$\frac{23}{2 ^ {3} \cdot 7} = 0.4107142857142857$$