Question

Perform the following division:

3 3/4 ÷ 2/8


A. 21/2
B. 15
C. 83/4
D. 12

Answer 1

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 :

`3 (3)/(4)`

New Fraction {Changed by Conversion} :

`(15)/(4)`

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

Old Equation :

`(15)/(4)` ÷
`(2)/(8)` = ?

New Equation {Changed by Flipping the Second Fraction and the Symbol} :

`(15)/(4)` ·
`(8)/(2)` = ?

Now we multiply straight across.

Old Equation :

`(15)/(4)` ·
`(8)/(2)` = ?

Solved :

`(120)/(8)`

Almost done!
Now we have to simplify the fraction.

Old Fraction :

`(120)/(8)`

New Fraction {Changed by Simplification} :

`(15)/(1)`

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

So,
`3 (3)/(4)` ÷
`(2)/(8)` equals 15.

Hope this helps!


- Lindsey Frazier ♥