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Q: How do you convert 1.666 repeating into a fraction?

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fraction of 1666 = 1666/1

0.2 a repeating decimal into a fraction = 2/9

0.6666 repeating = 2/3

0.999 repeating = 1 (the integer).

sexx

Just have a go.

56/99

It is 2/3.

If you convert repeating decimals into a fraction, you see that the repeating decimals are rational.

0.555555555... = 5/9

123/999

998/999

0.3333 repeating

an example of a repeating decimal is 0.33333333333333.......in this case the fraction is 1/3 another example is 0.66666666666 and the fraction is 2/3

To convert a one digit repeating decimal, make a fraction of that digit over 9, so 55/99 = 5/9 You can convert any repeating digits by putting them over the same number of 9s.

To convert a fraction to a decimal, divide the top number by the bottom number.

5/36 = 0.138888(repeating)

123/999 = 41/333

You can round the decimal fraction to a suitable level of accuracy. Alternatively, you can convert the number to a rational fraction.

7.11111...=7 1/9 or 64/9

0.161616... = 16/99 which cannot be simplified.

1.1111 = 11111/10000 1.1111 repeating = 10/9

0.14 repeating as a fraction = 14/99

1.2 repeating as a fraction = 11/9

The fraction for .4 repeating is 2/5.

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