2 years ago

Someone help asap please.

Mathematics

2 answers:

Lerok [7]2 years ago

6 0

<h2>Repeating Decimal to Fraction</h2>

Note: "..." is the repeating sign I'm using.

Answer: 2/9

<h3>Steps</h3>

Let X equal the decimal number

Equation 1:

X = 0.2...

With 1 digit in the repeating decimal group,

create a second equation by multiplying

both sides by 10

X * 10 = 10X and 0.2...* 10 = 2.2...

Equation 2:

10X = 2.2...

Subtract equation 1 from equation 2

10X = 2.2... - X = 0.2...

We get

9X = 2

In conclusion, 0.2... = 2/9

<h2>Repeating Decimal to Mixed Number</h2>

This decimal cannot be a mixed number because it has no number in the one's, ten's, or hundred's place.

zmey [24]2 years ago

4 0

Answer:

2/9= 0.222222222........

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