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

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

codskrueg codskrueg · Answer 2 · 2021-10-20T05:15:26+02:00

Answer:

1[tex]\frac{99}{100}[/tex]

Step-by-step explanation:

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

You could do binomial multiplication and get [tex]a^{2} +2ab+b^{2}[/tex] 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

[tex]\frac{1}{5} (\frac{2}{2} )=\frac{2}{10}[/tex]

[tex]\frac{1}{2} (\frac{5}{5} )=\frac{5}{10}[/tex]

Now add

[tex]\frac{2}{10} +\frac{5}{10} =\frac{7}{10}[/tex]

Now apply: [tex](\frac{a}{b} )^{2} =\frac{a^{2} }{b^{2} }[/tex]

[tex](\frac{7}{10} )^{2} =\frac{7^{2} }{10^{2} } =\frac{49}{100}[/tex]

Now, multiplying the other fraction we get [tex]\frac{3}{10} (5)=\frac{15}{10}[/tex]

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

[tex]\frac{15}{10} (\frac{10}{10} )=\frac{150}{100}[/tex]

[tex]\frac{49}{100} +\frac{150}{100} =\frac{199}{100} =1\frac{99}{100}[/tex]

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

[tex]\frac{a}{b}[/tex]±[tex]\frac{c}{d}[/tex]=[tex]\frac{ad+bc}{bd}[/tex]