Step by step solution to "How do you convert 0.4 (4 being repeated)..."

Irvin Dukes

Answered question

2021-12-14

How do you convert 0.4 (4 being repeated) to a fraction?

kalfswors0m

Beginner2021-12-15Added 24 answers

We first let 0.4 (4 being repeated) be x
Since x is recurring in 1 decimal places, we multiply it by 10.

10 x = 4.4

Next, we subtract them.

10 x - x = 4.4 = 0.4

9 x = 4

Lastly, we divide both sides by 9 to get x as a fraction.

x = \frac{4}{9}

Pademagk71

Beginner2021-12-16Added 34 answers

The given decimal is:

0.44444 \dots \dots .

Let the given decimal be equal to x, hence it follows that:

x = 0.44444 \dots .

Multiplying both sides by 10, we get:

10 x = 4.44444 \dots . .

Now, lets

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