the table shows the change in the water level (in centimeters) of a reservoir for three months.

find the total change in the water level for the three- month period.

the table shows the change in the water level in centimeters of a reservoir for three months find the total change in the water level for the three month period class=

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debmc7

Answer:

- 1 5/24 cm

Step-by-step explanation:

We'll have to get the fractions to a common denominator. the least common denominator for 3 and 80 is 240.

So - 1 1/3 = - 1 80/240 = 320/240

21/80 = 63/240

-11/80 = -33/240

-------------------------------------

-320/240 + 63/240 - 33/240 = -290/240 = - 1 50/240 = -1 5/24 cm

The total change in the water level is [tex]-\frac{29}{24}[/tex]

What is a fraction?

'A fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole.'

According to the given problem,

Change in first month =  [tex]([/tex][tex]-1\frac{1}{3}[/tex] [tex])[/tex] + [tex]\frac{21}{80}[/tex] + [tex](-\frac{11}{80})[/tex]

                                    =   [tex]([/tex][tex]-1\frac{1}{3}[/tex] [tex])[/tex]  + [tex]\frac{10}{80}[/tex]

                                    =   [tex]([/tex][tex]-1\frac{1}{3}[/tex] [tex])[/tex] + [tex]\frac{1}{8}[/tex]

                                    = [tex]\frac{1}{8} - \frac{4}{3}[/tex]

                                    = [tex]\frac{3 - 32}{24}[/tex]

                                    = [tex]-\frac{29}{24}[/tex]

Hence, we can conclude, the change in the water level is  [tex]-\frac{29}{24}[/tex]

Learn more about fractions here: https://brainly.com/question/10354322

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