if you have not already done so. That knowledge is a prerequisite here.

Terminating Decimals

While expressing a fraction into a decimal by the division method, if the division comes to an end after a finite number of steps, then such a decimal is a Terminating Decimal.

Examples : 1⁄4 = 0.25, 3⁄4 = 0.75, 1⁄16 = 0.0625

Non-Terminating Decimals

While expressing a fraction into a decimal by the division method, if the division process continues indefinitely, and zero remainder is never obtained then such a decimal is called Non-Terminating Decimal.

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If in a decimal, a digit or a set of digits in the decimal part is repeated continuously, then such a number is called a Recurring or Repeating Decimal.

The repeating digit(s) are expressed by putting a bar on the set.

Mixed recurring decimal to fraction : Repeating Decimal

In the numerator, take the difference between the number formed by all the digits in the decimal part ( taking repeated digits only once) and the number formed by the digits which are not repeated.

In the denominator, take the number formed by as many nines as there are repeating digits followed by as many zeros as is the number of non-repeating digits.

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