Question

What is 24 1/2 divided by 3 1/4

Answer 1

From the problem, we have :

`24(1)/(2)/3(1)/(4)`

The given fractions are in mixed form. We need to convert it or rewrite as an improper fractions.

Note that in converting mixed fraction to improper fraction :

`a(b)/(c)=(ac+b)/(c)`
`\begin{gathered} 24(1)/(2)=(24(2)+1)/(2)=(49)/(2) \\ 3(1)/(4)=(3(4)+1)/(4)=(13)/(4) \end{gathered}`

The expression will be :

`(49)/(2)/(13)/(4)`

Next is to rewrite the expression as multiplication.

In rewriting division into multiplication :

`(a)/(b)/(c)/(d)\Rightarrow(a)/(b)*(d)/(c)`

The numerator and denominator of the 2nd term will interchange.

from c/d to d/c.

So it follows that :

`(49)/(2)/(13)/(4)\Rightarrow(49)/(2)*(4)/(13)`

Simplify the expression :

`\begin{gathered} (49)/(2)*(4)/(13)=\frac{49}{\cancel{2}}*\frac{2(\cancel{2})}{13}=(49*2)/(13) \\ \Rightarrow(98)/(13) \end{gathered}`

Rewriting as mixed fraction :

`(98)/(13)=7(7)/(13)`

The answer is 98/13 or 7 7/13