# How do you convert 0.254 (4 repeating) as a fraction?

Multiply both sides of the first equation by 100 and the result is

Multiply both sides of the first equation by 1000 and the result is

Subtract second from the third

God bless....I hope the explanation is useful

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There are easy rules to use for converting recurring decimals to fractions: There are 2 types of recurring decimals - those where ALL the digits recur and those where SOME of the digits recur.

These rules are short cuts for algebraic methods, but it is often useful to be able to get to answer immediately.

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To convert the repeating decimal 0.254(4) into a fraction, you can follow these steps:

- Let x = 0.254(4)
- Multiply x by 10^k, where k is the number of digits in the repeating part. In this case, k = 1 because there is only one repeating digit (4).
- Subtract x from 10^k * x to eliminate the repeating part.
- Solve for x to find the fraction.

Following these steps:

- Let x = 0.254(4)
- Multiply x by 10 (since there is one repeating digit): 10x = 2.544(4)
- Subtract x from 10x: 10x - x = 2.544(4) - 0.254(4) = 2.54
- Solve for x: 10x - x = 9x = 2.54
- Divide both sides by 9: x = 2.54 / 9
- Simplify if necessary.

So, 0.254(4) as a fraction is 254/900.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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