Question

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

Answer 1

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)`

Answer 2

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