Ratio to Decimal Calculator

How to Convert a Ratio to a Decimal

Converting a ratio to a decimal is a fundamental mathematical operation that allows us to express proportions in a standardized form. Here's a comprehensive guide on how to perform this conversion:

Ratio to Decimal Formula

The formula to convert a ratio to a decimal is:

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

Where:

• Numerator: The first number in the ratio (top number)
• Denominator: The second number in the ratio (bottom number)

Calculation Steps

1. Identify the numerator and denominator in your ratio.
2. Divide the numerator by the denominator.
3. The result of this division is your decimal.

Example:

Let's convert the ratio 3:4 to a decimal.

1. Identify the parts: Numerator = 3, Denominator = 4
2. Apply the formula: \( \text{Decimal} = \frac{3}{4} \)
3. Perform the division: 3 ÷ 4 = 0.75

Therefore, the ratio 3:4 as a decimal is 0.75.

Visual Representation

A visual representation can help understand the concept better:

This diagram shows how 3:4 (or 0.75) relates to a whole. The blue portion represents 3 parts out of 4, which is equivalent to 75% or 0.75 of the whole.