Hey there!
Let's simplify
[tex]\bold{\displaystyle\frac{3500}{9} }}[/tex]
Is there any way we can simplify this fraction?
No. 3500 and 9 do not have any common factors.
This fraction is already in its simplest form.
However, [tex]\bold{\displaystyle\frac{3500}{9} }[/tex] is an improper fraction.
An improper fraction is a fraction where the numerator (top) is greater than its denominator.
You can easily remember where the denominator is by remembering this:
The Denominator is Down
The nice thing about improper fractions is that you can simplify them... A little.
Hey! How can we simplify a fraction that's already in its simplest form?!
If the fraction is improper, then we can just write it as a mixed number.
A mixed number is a number with both a whole number and a fraction.
Let's write this fraction as a mixed number.
First, how many times does 9 go into 3,500? (evenly)
388 times
Now, take 388 and multiply it times 9:
3,492
Subtract:
3,500-3,492=8
That's our numerator.
Therefore, the mixed fraction is
[tex]\bold{388\displaystyle\frac{8}{9} }[/tex]
We can easily check if this is correct by multiplying 388 times 9 and adding 8.
See? We ended up with 3,500.
Hence, 3500/9 simplified is
[tex]\boxed{\boxed{\bold{388\frac{8}{9} }}}[/tex]
Hope everything is clear.
Let me know if you have any queries; if you do, please comment.
#LearningDoesn'tEnd
[tex]\rule{200}{2}[/tex]
