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Answer: 11/5</h3>
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Explanation:
There are two ways to do this
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Method 1:
Move the decimal point 1 spot to the right to go from 2.2 to 22, what is really going on is we are multiplying by 10. To keep things balanced, we need to divide by 10 so that we end up back to 2.2; in other words we have 10/10 = 1, and multiplying by 1 doesn't change the number
So we have 2.2 = 2.2*(10/10) = (2.2*10)/10 = 22/10
Now reduce the fraction 22/10 to get 11/5. I divided both parts of the original fraction by the GCF 2
22 divided by 2 = 11
10 divided by 2 = 5
Therefore, 11/5 = 2.2
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Method 2:
The number 2.2 is read as "2 and 2 tenths". The first 2 is the whole part. The second 2 is the decimal part and it is in the tenths place, so we will write the "2 tenths" part as the fraction 2/10
2.2 = 2 and 2 tenths = 2 + (2/10) = 2 & 2/10
Reduce 2/10 to get 1/5, you divide both parts by 2
This leads to 2.2 = 2 & 1/5
Now convert the mixed number to an improper fraction using the rule
a & b/c = (a*c+b)/c
So we have a = 2, b = 1, c = 5
2 & 1/5 = (2*5+1)/5 = (10+1)/5 = 11/5
getting us the same answer
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side note: dividing 11 over 5 leads to a quotient of 2 and a remainder of 1
11/5 = 2 remainder 1
If you had 11 cookies and 5 friends, then each friend gets 2 cookies and 1 cookie is left over.
