Question

The simplest form of 0.54 bar is

Answer 1

Step-by-step explanation:

0.¯¯¯¯54=611

Explanation:

We will use the notation of a bar over repeating digits, that is, 0.545454...=0.¯¯¯¯54.

Let x=0.¯¯¯¯54

⇒100x=54.¯¯¯¯54

⇒100x−x=54.¯¯¯¯54−0.¯¯¯¯54

⇒99x=54

⇒x=5499=611

This strategy works in general. Given a repeating decimal, let x represent the initial value, multiply by 10n where n is the number of digits repeating, subtract x (the original value), and solve for x.

We can also notice a pattern in the above: we always end up with the repeating portion divided by 10n−1, where n is the number of digits in the repeating portion. This gives us a shortcut:

Answer 2

Answer:

The answer for this question is 6/11

Step-by-step explanation:

here is ur step by step explaination in this image