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How do you simplify #5 1/2 + 2 7/9#?

Answer 1

Ethan Adkins

See a solution process below:

First, convert each number from a mixed number into an improper fraction:

#5 1/2 = 5 + 1/2 = (2/2 xx 5) + 1/2 = 10/2 + 1/2 = (10 + 1)/2 = 11/2#

#2 7/9 = 2 + 7/9 = (9/9 xx 2) + 7/9 = 18/9 + 7/9 = (18 + 7)/9 = 25/9#

To add fractions they must be over a common denominator:

#11/2 = 11/2 xx 9/9 = (11 xx 9)/(2 xx 9) = 99/18#

#25/9 = 25/9 xx 2/2 = (25 xx 2)/(9 xx 2) = 50/18#

We can now rewrite and add the numerators over the common denominator as:

#99/18 + 50/18 = (99 + 50)/18 = 149/18#

If necessary, we can covert this to a mixed number as:

#149/18 = (144 + 5)/18 = 144/18 + 5/18 = 8 + 5/18 = 8 5/18#

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Answer 2

Savannah Anderson

To simplify 5 1/2 + 2 7/9, first convert both mixed numbers to improper fractions.

5 1/2 as an improper fraction is 11/2. 2 7/9 as an improper fraction is 25/9.

Then, find a common denominator, which in this case is 18.

11/2 + 25/9 = (99/18) + (50/18) = 149/18.

Now, you can convert the improper fraction 149/18 back to a mixed number.

149 ÷ 18 = 8 with a remainder of 5.

So, the simplified answer is 8 5/18.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.