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

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".

⇒ $\frac{Dividend}{divisor} = quotient$

⇒ $\frac{6}{11} = 0.5454....$

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 $11\times 5 = 55$ ...$5$ 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 $11\times 4=44$, $4$ 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.