Answer:
Imagine you have the number 26.7222222, and you want to turn it into a fraction. First, you know the whole number is 26. Now, look at the decimal part, which is 0.7222222.
To convert the decimal part into a fraction, think of it like this: What if it's 0.7222222... forever? We can turn this into a fraction by looking at the repeating part.
So, let's call the repeating decimal x: x = 0.7222222...
Now, we want to get rid of the repeating part. Multiply x by 10 to shift the decimal one place to the right: 10x = 7.2222222...
Now, subtract the original x from the new one: 10x - x = 7.2222222... - 0.7222222...
Simplify, and you get 9x = 6.5.
Now, solve for x by dividing both sides by 9: x = 6.5 / 9.
Combine the whole number (26) and the fraction (6.5 / 9), and you get 26 5/9.
So 26.7222222 as a fraction is 26 and 5/9. Hope that makes sense!
Step-by-step explanation:
<3
