3.83 as a Fraction

Decimal to fraction results for: 3.83 in simple form.
Whole number-integral part: 3
Fractional-decimal part: 83


3.83 = 3 83/100
a/b = numerator/denominator = 83/100

Pie chart representation of the fractional part of decimal 3.83

.83 = 83/100

Level of Precision:
Use the level of precision to break 3.83 down further as a fraction.
For example 3.83 with a precision point of 2 equals:
3 83/100

select a precision:

3 83000/100000
= 3 8300/10000
= 3 830/1000
= 3 83/100

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 3 and the proper fraction value is 83/100.

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Is 3.83 a terminating, recurring or an irrational decimal?

Terminating decimals have a limited number of digits after the decimal point.

Example: 9418.88 = 9418 88/100

Recurring decimals have one or more repeating numbers after the decimal point which continue on infinitely.

Example: 6799.3333 = 6799 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: 0.914655321.....

Popular Conversions:
One Decimal Point to Fraction Conversions

Example: 4779.6 = 4779 6/10



Two Decimal Points to Fraction Conversions:

Example: 7862.43 = 7862 43/100



Three Decimal Points to Fraction Conversions:

Example: 2712.669 = 2712 669/1000



Four Decimal Points to Fraction Conversions:

Example: 18113.6854 = 18113 6854/10000


Popular Decimal to Fraction Conversions:


3.83 as a Fraction

Decimal to fraction results for: 3.83 in simple form.
Whole number-integral part: 3
Fractional-decimal part: 83


Convert a Decimal to a Fraction

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Common Conversions

One Decimal to a Fraction

Click any one point decimal number to see it as a fraction:


Two Decimals to a Fraction

Click any two point decimal number to see it as a fraction:


Three Decimals to a Fraction

Click any three point decimal number to see it as a fraction:


Four Decimals to a Fraction

Click any four point decimal number to see it as a fraction:



How to convert terminating decimals into fractions

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: 897.51 = 897 51/100


How to convert non-terminating decimals into fractions

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:

4066.6666 = 4066 6666/10000 = 666/1000 = 66/100 = 2/3 (rounded)

Can an irrational decimal be converted into a fraction?

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

Irrational Decimal Example: 0.209314506.....


Sample Conversions




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