Terminating decimals are rather easy to convert. You can manually convert any terminating decimal into a fraction using these steps:

Step 1: Write the decimal number in fraction format, with the number as the numerator and 1 in the denominator.

Step 2: Now, multiply the numerator and the denominator by 10 for every digit left of the decimal point.

Step 3: Next, reduce the fraction into its simplest form.

Terminating Decimal to Fraction Example: 7303.35 = 7303 ³⁵/₁₀₀

Non-terminating decimals are those decimals which have an infinite number of recurring digits. It is a bit tricky to convert non-terminating decimals into fractions. Next we'll explain the steps. For example, let us find the value of 0.4444... in fraction form.

Step 1: Take the repeating decimal you are trying to convert as x. Let x be equal to 0.44444….

Step 2: Multiply the value of X by the power of 10, such that the resulting number has the same number on the right side of the decimal.

Hence, 10x = 4.44444….

Step 3: Subtact the output of step 2 from step 1

10x-x = 4.444444...-0.4444444….

9x= 4

= 4/9

Step 4: Resulting in a fraction number of the decimal number.

x=4/9

Recurring Decimal to Fraction Example:

Irrational decimals go on forever and never form a repeating pattern. This type of decimal cannot be expressed as a fraction.

Irrational Decimal Example: 0.673553414.....