Decimal to Fraction Calculator

How to Convert Decimals to Fractions

Converting decimals to fractions is a fundamental mathematical skill that involves expressing a decimal number as a ratio of two integers. This process allows us to represent decimal numbers in fraction form, which can be useful in various mathematical and real-world applications.

Formula for Decimal to Fraction Conversion

The general approach to convert a decimal to a fraction is:

$$\text{Decimal} = \frac{\text{Numerator}}{\text{Denominator}}$$

Where:

• Numerator is the decimal multiplied by a power of 10 to remove the decimal point
• Denominator is the corresponding power of 10

Calculation Steps

1. Identify the number of decimal places in the given number.
2. Multiply the decimal by 10^n, where n is the number of decimal places. This becomes the numerator.
3. Set the denominator to 10^n.
4. Simplify the fraction if possible by dividing both numerator and denominator by their greatest common divisor (GCD).

Example Calculation

Let's convert 0.75 to a fraction:

1. Identify decimal places: 0.75 has 2 decimal places.
2. Multiply by 10^2 = 100:

   $$0.75 \times 100 = 75 \text{ (numerator)}$$

3. Set denominator:

   $$\text{Denominator} = 100$$

4. Express as a fraction:

   $$\frac{75}{100}$$

5. Simplify by dividing both numerator and denominator by their GCD (25):

   $$\frac{75 \div 25}{100 \div 25} = \frac{3}{4}$$

Therefore, 0.75 = 3/4

Visual Representation