The water level at Lake Penny changed −1 1/10 in. this year. Next year, it is predicted to change another −1 2/5 in. What is the total change that will likely occur in 2 years? Enter your answer as a simplified mixed number in the box. 20 POINTS

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add 1 1/10  + 1 2/5

first get both fractions with the same bottom number: 2/5 = 4/10 ( multiply both numbers by 2)

so now you have  1 1/10 + 1 4/10 = 2 5/10

5/10 reduces to 1/2

 so answer is 2 1/2 inches, and since the level is going down it would be negative 2 1/2 inches

The total change that will likely occur in 2 years

[tex]2\frac{1}{2}[/tex] inches

Given :

The water level at Lake Penny changed  [tex]-1\frac{1}{10}[/tex]in. this year. Next year, it is predicted to change another [tex]-1\frac{2}{5}[/tex] in

To find out the total change that likely to occur in 2 years, we need to add the changes that occurred in 2 years

Total change is [tex]1\frac{1}{10} +1\frac{2}{5}[/tex]

to add both fractions make the denominators same

[tex]1\frac{1}{10} +1\frac{2}{5} \\1\frac{1}{10} +1\frac{2\cdot 2}{5\cdot 2} \\1\frac{1}{10} +1\frac{4}{10} \\2\frac{5}{10} \\2\frac{1}{2}[/tex]

The total change that will likely occur in 2 years

[tex]2\frac{1}{2}[/tex]

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