tswanpark04
Answered

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Felipe planted some seeds for a science project. One of his plants grew 6 2/7 inches in the first week, and then it grew 5 11/14 inches during the second week. How much did the plant grow during these two weeks? The answer should be written as a proper mixed number and should be simplified, if possible.

Sagot :

elcharly64

Answer:

The plant grew [tex]12\frac{1}{14}[/tex] inches

Step-by-step explanation:

Operations with Fractions

Felipe planted seeds for a science project. One of the plants grew 6 2/7 inches in the first week and 5 11/14 inches in the second week.

We are required to find the total growth during the two weeks. We have to find the sum of:

[tex]6\frac{2}{7}+5\frac{11}{14}[/tex]

Let's convert both fractions to improper form:

[tex]6\frac{2}{7}+5\frac{11}{14}=6+\frac{2}{7}+5+\frac{11}{14}[/tex]

Adding the integers:

[tex]6\frac{2}{7}+5\frac{11}{14}=11+\frac{2}{7}+\frac{11}{14}[/tex]

Now we find the LCM of 7 and 14 is 14, thus:

[tex]6\frac{2}{7}+5\frac{11}{14}=11+\frac{4}{14}+\frac{11}{14}[/tex]

[tex]6\frac{2}{7}+5\frac{11}{14}=11+\frac{15}{14}=11+\frac{14+1}{14}[/tex]

[tex]6\frac{2}{7}+5\frac{11}{14}=11+1+\frac{1}{14}[/tex]

[tex]6\frac{2}{7}+5\frac{11}{14}=12+\frac{1}{14}[/tex]

Rewriting as a mixed number:

The plant grew [tex]12\frac{1}{14}[/tex] inches

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