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4 votes
What is the answer to 16 1/9 + (-4 2/3)?
a. 131/3
b. 103/9
c. 103/3
d. 131/9

1 Answer

4 votes

Answer:

b.
\sf (103)/(9)

Explanation:

To find the answer to
\sf 16 (1)/(9)+ \left(-4 (2)/(3)\right) , we first need to convert the mixed numbers to fractions.


\sf 16 (1)/(9) = (16\cdot 9 + 1)/(9) = (145)/(9)


\sf - 4 (2)/(3) =- (4\cdot 3+2)/(3)=-(14)/(3)

Now we can add the two fractions:


\sf (145)/(9) + \left(-(14)/(3)\right)


\sf (145)/(9) -(14)/(3)

To subtract fractions, we must first get them over a common denominator. In this case, the common denominator is the least common multiple of 9 and 3, which is 9.

We can get
\sf (14)/(3) over 9 by multiplying the top and bottom by 3.


\sf (14)/(3) * (3)/(3) = (42)/(9) Therefore, our problem becomes


\sf (145)/(9) - (42)/(9)

Now, we can simply subtract the numerators and keep the denominator the same.


\sf (145)/(9) - (42)/(9) = (145-42)/(9) \\\\ = (103)/(9)

Therefore, the answer is.

b.
\sf (103)/(9)

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