Question

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

Answer 1

The sequence is 54

Step-by-step explanation:

Answer 2

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".

⇒
`(Dividend)/(divisor) = quotient`

⇒
`(6)/(11) = 0.5454....`

Step-by-step explanation:

• To divide
  `6` with
  `11` 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
  `60` and then we can apply
  `11* 5 = 55` ...
  `5` in the quotient and
  `55` in the numerator.
• In third step we will subtract
  `55` with
  `60` that will give us
  `5` putting a zero with it it will be now
  `50` ,and the closet multiple of
  `11` is
  `11* 4=44`,
  `4` with the quotient and and
  `50-44=06` 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.