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42 votes
42 votes
-4 5/4 + 8/9 GIVING 30 POINTS PLEASE HELP THE INTERNET IS GIVING ME ALL SORTS OF DIFFERENT ANSWERS.

User KOGI
by
1.9k points

1 Answer

24 votes
24 votes

We are given the following:


-4(5)/(4)+(8)/(9)

The first thing we need to do is convert the mixed numbers into improper fractions.


4(5)/(4) = (21)/(4)

Now, we find the LCM (Least Common Multiple) of 4 and 9, which is 36. Then we adjust the fractions based on the LCM.


=-(189)/(36) +(32)/(36)

Next, we apply the fraction rule,
(a)/(c)+(b)/(c) = (a+b)/(c) to the expression based on our information.


(-189+32)/(36)

Then, we add the numbers
-189+32=-157, writing the fraction as:


(-157)/(36)

Apply the fraction rule,
(-a)/(b)=-(a)/(b).


-(157)/(36)

Finally, convert the improper fractions back to mixed numbers, and hence our solution:


-(157)/(36) = -4(13)/(36)

Hope this helps!

User Trogper
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2.7k points