Question

Deyvi is comparing the weights of two groups of rabbits on different diets. In Group A, 7/11 of the rabbits gained weight. In Group B, 7/8 rabbits gained weight. He needs to record this information in a spreadsheet, which requires him to use decimals. Are both fractions in the table repeating decimals? Show your work.

Answer 1

Problem

Deyvi is comparing the weights of two groups of rabbits on different diets. In Group A, 7/11 of the rabbits gained weight. In Group B, 7/8 rabbits gained weight. He needs to record this information in a spreadsheet, which requires him to use decimals. Are both fractions in the table repeating decimals? Show your work.​

Solution

For this case we have the following fractions given:

$\frac{7}{11}=\frac{7\cdot10}{11\cdot10}=\frac{70}{110}=\frac{35}{55}=0.636363$$\frac{7}{8}=\frac{7\cdot10}{8\cdot10}=\frac{70}{80}=0.875$

And we can conclude that 7/11 is a repeated decimal and 7/8 NO