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 ♥