Understanding Ratio to Fraction
Ratios and fractions are closely related but can mean different things depending on context.
Two Types of Interpretations
- Part-to-Part: This is a direct translation. Ratio 1:2 becomes fraction 1/2. It compares one group to another.
- Part-to-Whole: This compares one group to the total. For ratio 1:2 (e.g. 1 red ball, 2 blue balls), the fraction of red balls is 1/(1+2) = 1/3.
Frequently Asked Questions
How do you convert a ratio to a fraction?
A ratio A:B can be written directly as the fraction A/B.
What is the difference between part-to-part and part-to-whole?
Part-to-part compares two distinct groups (e.g., boys:girls = 1:2). Part-to-whole compares one group to the total (e.g., boys/total = 1/3).
Is 1:2 the same as 1/2?
Yes, the ratio 1:2 is mathematically equivalent to the fraction 1/2.
