Decimal to Fraction Calculator

The Decimal to Fraction Calculator is a useful tool for converting decimal numbers into fractions.

What does Decimal to Fraction Calculator do?

The Decimal to Fraction Calculator converts decimal numbers into their simplest fraction form, making calculations easier.

Decimal to Fraction Calculator Formula?

The formula for converting a decimal number into a fraction is as follows:

Decimal to Fraction Conversion Formula:

• Take the decimal number and determine how many decimal places it has.
• Then, make the denominator a power of 10 by adding as many zeros as there are decimal places.
• Denominator: Add zeros to 1 based on the number of decimal places.
• Numerator: Multiply the decimal number by the denominator.

Example: 0.75

• 0.75 is a two-decimal number.
• Therefore, the denominator will be 100.
• Numerator = 75, as multiplying 0.75 by 100 gives 75.
• Result: 0.75 = 75/100, and this fraction can be simplified.

Decimal to Fraction Calculator Examples?

Below are two examples of how to convert decimal numbers to fractions.

Example 1 (Converting 0.75 to a fraction):

1. Decimal number: 0.75
2. Step 1: There are 2 decimal places, so the denominator will be 100.
3. Step 2: Multiply 0.75 by 100, resulting in 75.
4. Step 3: This gives the fraction: 75/100.
5. Step 4: To simplify, the greatest common divisor (GCD) of 75 and 100 is 25.
   • 75 ÷ 25 = 3
   • 100 ÷ 25 = 4
6. Result: 0.75 = 3/4

Example 2 (Converting 0.125 to a fraction):

1. Decimal number: 0.125
2. Step 1: There are 3 decimal places, so the denominator will be 1000.
3. Step 2: Multiply 0.125 by 1000, resulting in 125.
4. Step 3: This gives the fraction: 125/1000.
5. Step 4: To simplify, the greatest common divisor (GCD) of 125 and 1000 is 125.
   • 125 ÷ 125 = 1
   • 1000 ÷ 125 = 8
6. Result: 0.125 = 1/8

By using the Decimal to Fraction Calculator, you can easily convert decimal numbers to fractions and speed up mathematical processes.