We want to know how many 1/8's are in 3/4, so we divide.
[tex]\sf\dfrac{3}{4}\div\dfrac{1}{8}[/tex]
Flip the 2nd fraction and multiply:
[tex]\sf\dfrac{3}{4}\times\dfrac{8}{1}[/tex]
Multiply the numerators and denominators together:
[tex]\sf\dfrac{3\times8}{4\times1}\rightarrow\dfrac{24}{4}[/tex]
Divide:
[tex]\boxed{\sf6}[/tex]
