Solve 5.67/128+729/128

$$\frac { 5.67 } { 128 } + \frac { 729 } { 128 }$$

Evaluate

$$5.739609375$$

Solution Steps

Expand \frac{5.67}{128} by multiplying both numerator and the denominator by 100.

$$\frac{567}{12800}+\frac{729}{128}$$

Least common multiple of 12800 and 128 is 12800. Convert \frac{567}{12800} and \frac{729}{128} to fractions with denominator 12800.

$$\frac{567}{12800}+\frac{72900}{12800}$$

Since \frac{567}{12800} and \frac{72900}{12800} have the same denominator, add them by adding their numerators.

$$\frac{567+72900}{12800}$$

Add 567 and 72900 to get 73467.

$$\frac{73467}{12800}$$

Factor

$$\frac{907 \cdot 3 ^ {4}}{2 ^ {9} \cdot 5 ^ {2}} = 5\frac{9467}{12800} = 5.739609375$$