Fraction to Decimal Calculator

Understanding Fraction to Decimal Conversion

What is a Fraction to Decimal Conversion?

Fraction to decimal conversion is the process of expressing a fraction (a ratio of two integers) as a decimal number. This conversion is fundamental in mathematics and is widely used in various fields, including engineering, finance, and everyday calculations.

Formula for Fraction to Decimal Conversion

The basic formula for converting a fraction to a decimal is:

\[\text{Decimal} = \frac{\text{Numerator}}{\text{Denominator}}\]

Where:

• Numerator is the number above the fraction line
• Denominator is the number below the fraction line

Converting a Fraction to a Decimal

To convert a fraction to a decimal, follow these steps:

1. Divide the numerator by the denominator
2. If necessary, round the result to the desired number of decimal places

Calculation Steps

Let's convert 3/4 to a decimal with 2 decimal places:

1. Set up the division: 3 ÷ 4
2. Perform the division: 3 ÷ 4 = 0.75
3. Round to 2 decimal places: 0.75

Example with Visual Representation

Let's visualize 3/4 as a decimal:

This diagram shows the fraction 3/4 and its decimal equivalent 0.75.