What is 2.25 as an improper fraction simplified?

Answer 1

Hi Katelyn,

I'd be happy to help you with this. Let's go!

To convert the decimal number 2.25 into an improper fraction, we first need to identify the whole number and the decimal part separately.

The whole number is 2, and the decimal part is 0.25. Now, let's focus on converting the decimal part into a fraction. Since 0.25 has two decimal places, we can write it as a fraction with a denominator of 100 (10 raised to the power of the number of decimal places):

0.25 = 25/100

Next, we'll simplify this fraction. Both the numerator (25) and the denominator (100) share a common factor of 25, so we can divide both by 25:

25 ÷ 25 = 1

100 ÷ 25 = 4

So, the simplified fraction for 0.25 is 1/4. Now we can combine this with the whole number part (2) to create an improper fraction. To do this, we'll multiply the whole number by the denominator and then add the numerator:

(2 × 4) + 1 = 8 + 1 = 9

So, 2.25 as an improper fraction simplified is 9/4. I hope this helps! If you have any more questions or need further clarification, please don't hesitate to ask.