To solve this, we need to first convert all the fractions to have the same denominator. The common denominator for 16 and 3 is 48.
So, our expression becomes:
( \frac{75}{1} - \frac{75}{8} + \frac{24}{48} + \frac{32}{48} )
Now, we can perform the operations:
( 75 - \frac{75}{8} + \frac{24}{48} + \frac{32}{48} )
( 75 - 9.375 + 0.5 + \frac{2}{3} )
( 75 - 9.375 + 0.5 + \frac{32}{48} )
( 65.625 + 0.5 + \frac{32}{48} )
( 66.125 + \frac{32}{48} )
To simplify the last fraction, we divide both the numerator and denominator by 16:
( 66.125 + \frac{2}{3} )
Therefore, the answer is approximately ( 66.125 + 0.66667 = 66.79167 )
To solve this, we need to first convert all the fractions to have the same denominator. The common denominator for 16 and 3 is 48.
So, our expression becomes:
( \frac{75}{1} - \frac{75}{8} + \frac{24}{48} + \frac{32}{48} )
Now, we can perform the operations:
( 75 - \frac{75}{8} + \frac{24}{48} + \frac{32}{48} )
( 75 - 9.375 + 0.5 + \frac{2}{3} )
( 75 - 9.375 + 0.5 + \frac{32}{48} )
( 65.625 + 0.5 + \frac{32}{48} )
( 66.125 + \frac{32}{48} )
To simplify the last fraction, we divide both the numerator and denominator by 16:
( 66.125 + \frac{2}{3} )
Therefore, the answer is approximately ( 66.125 + 0.66667 = 66.79167 )