Respuesta :

Hey!


Alright, the first step to solving this division problem would be to convert the mixed fraction into a simple fraction.  To do that, we'll multiply the denominator by the whole number and then add that total to the numerator.

Original Fraction :
[tex]3 \frac{3}{4} [/tex]

New Fraction {Changed by Conversion} :
[tex] \frac{15}{4} [/tex]

Now that we've successfully done that we'll have to change the equation.

Old Equation :
[tex] \frac{15}{4} [/tex] ÷ [tex] \frac{2}{8} [/tex] = ?

New Equation {Changed by Flipping the Second Fraction and the Symbol} :
[tex] \frac{15}{4} [/tex] · [tex] \frac{8}{2} [/tex] = ?

Now we multiply straight across.

Old Equation :
[tex] \frac{15}{4} [/tex] · [tex] \frac{8}{2} [/tex] = ?

Solved :
[tex] \frac{120}{8} [/tex]

Almost done!
Now we have to simplify the fraction.

Old Fraction :
[tex] \frac{120}{8} [/tex]

New Fraction {Changed by Simplification} :
[tex] \frac{15}{1} [/tex]

Now just convert it to a whole number by removing the fraction line and the number, and that's it!

So, [tex]3 \frac{3}{4} [/tex] ÷ [tex] \frac{2}{8} [/tex] equals  15.

Hope this helps!


- Lindsey Frazier ♥