Solve 49/12+43/96

$$\frac { 49 } { 12 } + \frac { 43 } { 96 }$$

Evaluate

$$\frac{145}{32}=4.53125$$

Solution Steps

Least common multiple of 12 and 96 is 96. Convert \frac{49}{12} and \frac{43}{96} to fractions with denominator 96.

$$\frac{392}{96}+\frac{43}{96}$$

Since \frac{392}{96} and \frac{43}{96} have the same denominator, add them by adding their numerators.

$$\frac{392+43}{96}$$

Add 392 and 43 to get 435.

$$\frac{435}{96}$$

Reduce the fraction \frac{435}{96} to lowest terms by extracting and canceling out 3.

$$\frac{145}{32}$$

Factor

$$\frac{5 \cdot 29}{2 ^ {5}} = 4\frac{17}{32} = 4.53125$$