A cafeteria worker is wondering how student lunch prices at a high school have changed over time. She researches lunch prices fo
2 answers:
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Answer:
Teagan is dividing 6 by 11. If she continues the process, what will keep repeating in the quotient?
The sequence 05
Only the digit 5
The sequence 54
Only the digit 4
The sequence 54 is the final answer.
Step-by-step explanation:
Given:
A a fraction 6/11 which Teagan is dividing we have to find the repeating quotient.
Here the divisor is 11 and the dividend is 6.
Lets say that the quotient is "q" .
And we know that:
⇒ Dividend / divisor = quotient
Or
In mixed fraction.
⇒ Dividend / divisor = quotient + (remainder/ divisor)
Finding the values of "q".
⇒
⇒
Explanation:
- To divide
with
we have to take a decimal in quotient which allows us to have a zero in each step in the quotient.
- After putting zero the dividend will become
and then we can apply
...
in the quotient and
in the numerator.
- In third step we will subtract
,and the closet multiple of
,
with the quotient and and
will continue to be divided.
- The fraction is a rational numbers as the decimals occurring are repeating decimals in the quotient.
Our final answer from the option is : C
The sequence 54 will be repeating.
