Solve 17/32+1/24+7/12=

$$\frac { 17 } { 32 } + \frac { 1 } { 24 } + \frac { 7 } { 12 } =$$

Evaluate

$$\frac{37}{32}=1.15625$$

Solution Steps

Least common multiple of 32 and 24 is 96. Convert \frac{17}{32} and \frac{1}{24} to fractions with denominator 96.

$$\frac{51}{96}+\frac{4}{96}+\frac{7}{12}$$

Since \frac{51}{96} and \frac{4}{96} have the same denominator, add them by adding their numerators.

$$\frac{51+4}{96}+\frac{7}{12}$$

Add 51 and 4 to get 55.

$$\frac{55}{96}+\frac{7}{12}$$

Least common multiple of 96 and 12 is 96. Convert \frac{55}{96} and \frac{7}{12} to fractions with denominator 96.

$$\frac{55}{96}+\frac{56}{96}$$

Since \frac{55}{96} and \frac{56}{96} have the same denominator, add them by adding their numerators.

$$\frac{55+56}{96}$$

Add 55 and 56 to get 111.

$$\frac{111}{96}$$

Reduce the fraction \frac{111}{96} to lowest terms by extracting and canceling out 3.

$$\frac{37}{32}$$

Factor

$$\frac{37}{2 ^ {5}} = 1\frac{5}{32} = 1.15625$$