Question

What is 3500/9 simplified?

Answer 1

Hey there!
Let's simplify

`\bold{\displaystyle(3500)/(9) }}`

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,
`\bold{\displaystyle(3500)/(9) }` 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

`\bold{388\displaystyle(8)/(9) }`

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

`\boxed{\boxed{\bold{388(8)/(9) }}}`

Hope everything is clear.

Let me know if you have any queries; if you do, please comment.

#LearningDoesn'tEnd

`\rule{200}{2}`