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What's 5/6 plus 2 1/6 in simplest form ?

A green iguana is 5/6 foot long when it is born.During it's first year of life,it grows 2 1/6 feet.How long is the green iguana at the end of the first year?

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Denise W. | Elementary / Middle / High School Math TutorElementary / Middle / High School Math T...
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Hi Chris,
 
You can convert 2 1/6 into a vulgar (or top-heavy) fraction first, 2 = 12/6 and so 2 1/6 = 13/6.
 
Since the denominators are equal, you can simply add the numerators together:  5 + 13 = 18.
 
So, 5/6 + 13/6 = 18/6. 
 
The HCF (Highest Common Factor) of 18 and 6 is 6 (since 6 is the highest number that can divide into 18 and 6 and leave a whole number answer).
 
Using the HCF of 18 and 6, we can simplify 18/6 down to 3/1 or 3.
 
 
Karin S. | Reasonable and Reliable Math Tutor Reasonable and Reliable Math Tutor
5.0 5.0 (711 lesson ratings) (711)
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5/6+2 1/6.
 
Since the LCD is 6, and both denominators are 6, you can just add the numerators within each fraction. (1+5)/6 = 6/6 which is then reduced to 1 and therefore added to 2 = 3