Solve 7/16+5/24+9/32

$$\frac{ 7 }{ 16 } + \frac{ 5 }{ 24 } + \frac{ 9 }{ 32 }$$

Evaluate

$$\frac{89}{96}\approx 0.927083333$$

Solution Steps

Least common multiple of 16 and 24 is 48. Convert \frac{7}{16} and \frac{5}{24} to fractions with denominator 48.

$$\frac{21}{48}+\frac{10}{48}+\frac{9}{32}$$

Since \frac{21}{48} and \frac{10}{48} have the same denominator, add them by adding their numerators.

$$\frac{21+10}{48}+\frac{9}{32}$$

Add 21 and 10 to get 31.

$$\frac{31}{48}+\frac{9}{32}$$

Least common multiple of 48 and 32 is 96. Convert \frac{31}{48} and \frac{9}{32} to fractions with denominator 96.

$$\frac{62}{96}+\frac{27}{96}$$

Since \frac{62}{96} and \frac{27}{96} have the same denominator, add them by adding their numerators.

$$\frac{62+27}{96}$$

Add 62 and 27 to get 89.

$$\frac{89}{96}$$

Factor

$$\frac{89}{2 ^ {5} \cdot 3} = 0.9270833333333334$$