Terminating decimals have a limited number of digits after the decimal point.
Example:
3953.43 = 3953 43/100
Recurring decimals have one or more repeating numbers after the decimal point which continue on infinitely.
Example: 7519.3333 = 7519 3333/10000 = 333/1000 = 33/100 = 1/3 (rounded)
Irrational decimals go on forever and never form a repeating pattern. This type of decimal cannot be expressed as a fraction.
Example: 0.747954932.....
Example: 5256.6 = 5256 6/10
Example: 2229.86 = 2229 86/100
Example: 4248.479 = 4248 479/1000
Example: 94924.1125 = 94924 1125/10000
Decimal to fraction results for: 0.8842 in simple form.
Whole number-integral part: empty
Fractional-decimal part: 8842
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: 8734.37 = 8734 37/100
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:
9139.6666 = 9139 6666/10000 = 666/1000 = 66/100 = 2/3 (rounded)Irrational decimals go on forever and never form a repeating pattern. This type of decimal cannot be expressed as a fraction.
Irrational Decimal Example: 0.264336298.....
0.8842 = 0 8842/10000
a/b = numerator/denominator = 8842/10000
Use the level of precision to break 0.8842 down further as a fraction. For example 0.8842 with a precision point of 2 equals:
88/100Pie chart representation of the fractional part of decimal 0.8842
Keep in mind a mixed number is made up of a whole number (whole numbers have no fractional or decimal part) and a proper fraction part (a fraction where the numerator (the top number) is less than the denominator (the bottom number). In this case the whole number value is empty and the proper fraction value is 8842/10000.