Decimal to Fraction Calculator [Convert Decimal to Fraction]

How to Convert Decimal to Fraction

A number containing a decimal point must be changed into a fraction form to convert a decimal to a fraction. You must first determine the decimal and whole number portions to accomplish this. After that, you take the decimal portion and multiply it by ten to get a fraction, where the denominator has the same number of zeros as there are decimal points. Finally, if at all feasible, locate the largest common factor between the numerator and denominator to simplify the resultant fraction. By using this method, a decimal number can be expressed as a simplified fraction, giving the same numerical value a different visual representation.

What is a Decimal?

Decimals are used to express fractions of whole numbers or complete units. A decimal point, which indicates the division, is placed between the full number and the fractional portion when expressing a decimal number. The decimal point, which is located exactly to the right of the unit's location and indicates the importance of each position, is an essential component.

What is a Fraction?

Parts of whole numbers are represented mathematically by fractions. Think about splitting a whole cake equally between two people, for instance. After that, each individual would receive 1/2 of the cake, or in other words, one-half of the cake.

What is the formula for converting a Decimal to a Fraction?

There is no single strict formula, but rather a process to simplify the decimal digit into the simplest form of a fraction.

How to convert Decimals to Fractions?

Here's an example of how to convert 5.5 to a fraction:

• To start, split the decimal into two parts: the fractional component (".5") on the right and the complete number ("5") on the left of the decimal point.
• There are two components to the decimal 5.5: "5" (whole units) and ".5" (fractional portion). Determine the fractional part's decimal place count and turn it into a fraction with a denominator of 1 and the decimal place equivalent in zeros.
• Since there is just one decimal point in this instance, the denominator is 10. As a result, we may write 0.5 as 5/10 and 5.5 as 55/10.
• Lastly, divide the fraction by the largest common factor between the denominator and the numerator to simplify it:
  55/10 ÷ 5 = 11/2
• Therefore, the decimal 5.5 can be written as the fraction 11/2.

Conversion Table of Decimal to Fractions

Here is the conversion table for Decimal to Fractions for some regular and simple mathematical calculations:

How to use the Decimal-to-Fractions calculator?

• Step 1: Enter the decimal digit you want to convert into fractions.
• Step 2: Click the "Convert" button.
• Step 3: The calculator will display the simplified fraction value.