Question

8 and 1/3 divided by 3 and 3/4

Answer 1

`8(1)/(3) / 3(3)/(4) = ?`

The first step in solving this equation is converting the fractions into improper fractions.

To convert 8 1/3, we multiply 8 by 3 and then add 1, and then placing the sum as the numerator, keeping the denominator the same. So 8 1/3 becomes 25/3.

I encourage you to convert the next fraction yourself.

(if you must know, the converted fraction is 15/4)

So now our equation looks like this:

`(25)/(3) / (15)/(4)`

The way you divide an equation is flipping the fraction on the right upside down (see reciprocals), and then multiplying the fractions. (You can also do this without flipping the right fraction and using cross-multiplication).

`(25)/(3) * (4)/(15) = (100)/(45)`

Simplified, our final solution is
`2(2)/(9)`.

I hope this helps you!