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HELPPP THIS IS DUE SOON...actually its late BUT STILL HELP

HELPPP THIS IS DUE SOON...actually its late BUT STILL HELP-example-1
User Peter Watts
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2 Answers

8 votes
8 votes

Answer:

1
(99)/(100)

Explanation:

I would start by turning the parentheses fractions into one fraction.

You could do binomial multiplication and get
a^(2) +2ab+b^(2) but it might take longer.

So I would just turn them into one fraction by finding the common denominator.

The common denominator here is 10


(1)/(5) ((2)/(2) )=(2)/(10)


(1)/(2) ((5)/(5) )=(5)/(10)

Now add


(2)/(10) +(5)/(10) =(7)/(10)

Now apply:
((a)/(b) )^(2) =(a^(2) )/(b^(2) )


((7)/(10) )^(2) =(7^(2) )/(10^(2) ) =(49)/(100)

Now, multiplying the other fraction we get
(3)/(10) (5)=(15)/(10)

Now turn this into a fraction with denominator 100 to add the two fractions


(15)/(10) ((10)/(10) )=(150)/(100)


(49)/(100) +(150)/(100) =(199)/(100) =1(99)/(100)

There is also another method to add or subtract fractions without multiplying to get a common denominator in case you are interested:


(a)/(b)±
(c)/(d)=
(ad+bc)/(bd)

User DaemonFire
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2.5k points
16 votes
16 votes

Answer: 100 99/100

Step-by-step explanation: add the 1/2 and 1/5 together by finding a common denominator(10). 1/2 would become 5/10 and 1/5 would become 2/10. 2/10 + 5/10 =7/10. now we're left with (7/10)^2 +3/10 x 5

to do (7/10)^2 you square the top and bottom to give you 49/100.

next we'll do 3/10 x 5 which would equal 15/10. so now all we have left to do is add 49/100 and 15/10. to do this we'll find a common denominator of 100. so well multiply the top and bottom by 10 to give you 150/100.

finally, 49/100 + 150/100 = 199/100 or as a mixed number, 100 99/100

User Lucan
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2.8k points