Q: How can a decimal change to a repeating fraction?

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It is a repeating decimal.

decimal and repeating bar

0.2 a repeating decimal into a fraction = 2/9

repeating decimal 1.1 as a fraction = 10/9

A decimal number is like a mixed fraction: it has an integer part and a fractional part. If the fractional part is a repeating fraction then the whole number is represented by a repeating decimal.

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you don't it just keeps recurring

The fraction of the repeating decimal 0.7... is 7/9

It is a repeating decimal.

decimal and repeating bar

0.2 a repeating decimal into a fraction = 2/9

repeating decimal 1.1 as a fraction = 10/9

If the decimal is terminating or repeating then it can be written as a fraction. Decimal representations which are non-terminating and non-repeating cannot be expressed as a fraction.

A decimal number is like a mixed fraction: it has an integer part and a fractional part. If the fractional part is a repeating fraction then the whole number is represented by a repeating decimal.

Any rational number is either a repeating decimal, or a terminating decimal.

It is a fraction in decimal form.

a repeating decimal

It is not possible to have a terminating decimal which repeats or a repeating decimal which terminates. The two types are mutually exclusive.