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
