Ratio to Fraction Calculator

How to Convert a Ratio to a Fraction

Converting a ratio to a fraction is a fundamental mathematical operation that helps us understand the relationship between two quantities. Here's a comprehensive guide on how to perform this conversion:

Ratio to Fraction Formula

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

$$\text{Fraction}=\frac{\text{First part of ratio}}{\text{Second part of ratio}}$$

Where:

• The first part of the ratio becomes the numerator
• The second part of the ratio becomes the denominator

Calculation Steps

1. Write the ratio in the form a:b
2. Convert the ratio to a fraction by writing a/b
3. Simplify the fraction if possible by dividing both the numerator and denominator by their greatest common divisor (GCD)

Example: Convert the ratio 6:8 to a fraction

1. Write the ratio as a fraction: 6/8
2. Find the GCD of 6 and 8 (GCD = 2)
3. Divide both the numerator and denominator by the GCD: $$\frac{6÷2}{8÷2}=\frac{3}{4}$$
4. The simplified fraction is 3/4

Visual Representation

A visual representation can help understand the concept better. Here's a diagram showing the ratio 3:4 as a fraction:

This diagram illustrates how the ratio 3:4 relates to the fraction 3/4. The blue portion represents 3 parts out of the total 4 parts.