# What is #0.49bar(9)# expressed as a simple fraction?

##### 2 Answers

#### Explanation:

Given this decimal, 0.49 goes up to the hundredths place, we'll simplify it as over

So to do this, we simply take the 0.49, and multiply it by 100.

We have the first part. Great!

Since we are given that it goes to the hundredths place, we simply put it over

Answer:

Let's take another decimal though.

Answer would be:

(the bar over the

#### Explanation:

Let

Therefore

~~~~~~~~~~~~~~~~~~~~~~~~~~

We normally think:

but if we try to subtract

we find we need to go an infinite distance (which we can't really do) to get anything other than

That is