Solve 4/45+8/81+32/125

$$\frac { 4 } { 45 } + \frac { 8 } { 81 } + \frac { 32 } { 125 }$$

Evaluate

$$\frac{4492}{10125}\approx 0.443654321$$

Solution Steps

Least common multiple of 45 and 81 is 405. Convert \frac{4}{45} and \frac{8}{81} to fractions with denominator 405.

$$\frac{36}{405}+\frac{40}{405}+\frac{32}{125}$$

Since \frac{36}{405} and \frac{40}{405} have the same denominator, add them by adding their numerators.

$$\frac{36+40}{405}+\frac{32}{125}$$

Add 36 and 40 to get 76.

$$\frac{76}{405}+\frac{32}{125}$$

Least common multiple of 405 and 125 is 10125. Convert \frac{76}{405} and \frac{32}{125} to fractions with denominator 10125.

$$\frac{1900}{10125}+\frac{2592}{10125}$$

Since \frac{1900}{10125} and \frac{2592}{10125} have the same denominator, add them by adding their numerators.

$$\frac{1900+2592}{10125}$$

Add 1900 and 2592 to get 4492.

$$\frac{4492}{10125}$$

Factor

$$\frac{2 ^ {2} \cdot 1123}{3 ^ {4} \cdot 5 ^ {3}} = 0.44365432098765434$$