Decimal Fraction Conversion

What is a Decimal?

In mathematics, a decimal is a number that uses a decimal point to separate the whole number part from the fractional part. The dot itself is called the decimal point. The digits to the right of the decimal point represent values less than one (such as tenths, hundredths, etc.), allowing for precise calculations beyond whole integers.

What is a Fraction?

A fraction represents a part of a whole. It consists of two specific numbers separated by a line:

• Numerator (Top Number): Represents the number of parts you have.
• Denominator (Bottom Number): Represents the total number of equal parts that make up the whole.

How to Convert a Decimal to a Fraction

Follow these simple steps to convert any decimal into a fraction:

1. Create a Basic Fraction: Write the decimal number as the numerator (top) and 1 as the denominator (bottom).
   • Example: For 0.75, write 0.75 / 1.
2. Remove the Decimal Point: Count how many digits are to the right of the decimal point. Multiply both the numerator and the denominator by 10 for every digit.
   • Example: 0.75 has 2 digits. Multiply by 100 ($10^2$).
   • Result: 75 / 100.
3. Simplify the Fraction: Find the Greatest Common Divisor (GCD) for both numbers and reduce the fraction to its lowest terms.
   • Example: The GCD of 75 and 100 is 25.
   • $75 \div 25 = 3$
   • $$

Decimal to Fraction Conversion Table

Decimal	Fraction	Decimal	Fraction
0.0001	1/10000	0.5	1/2
0.001	1/1000	0.555...	5/9
0.01	1/100	0.5714	4/7
0.0833	1/12	0.6	3/5
0.0909	1/11	0.625	5/8
0.1	1/10	0.666...	2/3
0.111...	1/9	0.7	7/10
0.125	1/8	0.7142	5/7
0.1428	1/7	0.75	3/4
0.166...	1/6	0.777...	7/9
0.2	1/5	0.8	4/5
0.222...	2/9	0.833...	5/6
0.25