Solve 4/27+9/32

$$\frac { 4 } { 27 } + \frac { 9 } { 32 }$$

Evaluate

$$\frac{371}{864}\approx 0.429398148$$

Solution Steps

Least common multiple of 27 and 32 is 864. Convert \frac{4}{27} and \frac{9}{32} to fractions with denominator 864.

$$\frac{128}{864}+\frac{243}{864}$$

Since \frac{128}{864} and \frac{243}{864} have the same denominator, add them by adding their numerators.

$$\frac{128+243}{864}$$

Add 128 and 243 to get 371.

$$\frac{371}{864}$$

Factor

$$\frac{7 \cdot 53}{2 ^ {5} \cdot 3 ^ {3}} = 0.42939814814814814$$