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Convert ratios to fractions of the whole
Convert ratio parts to fractions, decimals, and percentages. Shows each part as a fraction of the total.
Separate parts with colons (:)
Enter a ratio to convert
Add all parts of the ratio together. For 3:2, total = 3 + 2 = 5 parts.
Each part becomes: part/total. For 3:2, get 3/5 and 2/5.
Reduce each fraction to lowest terms using GCD if possible.
To convert ratio a:b to fractions, first find the total (a+b). Then express each part as a fraction of the total: a/(a+b) and b/(a+b). For example, 3:2 becomes 3/5 and 2/5.
A ratio fraction shows what portion each part is of the whole. If you have a 3:2 ratio (like 3 red balls to 2 blue balls), 3/5 of all balls are red and 2/5 are blue.
Yes! For a:b:c, the total is a+b+c. The fractions are a/(a+b+c), b/(a+b+c), and c/(a+b+c). For example, 2:3:5 gives 2/10, 3/10, and 5/10 (or 1/5, 3/10, and 1/2 simplified).
Yes! Since each fraction represents a part of the whole, and all parts together make the whole, the fractions will always sum to 1 (or 100%).
A ratio (3:2) compares separate quantities. Fractions from a ratio (3/5 and 2/5) show each quantity as a portion of the combined total. The ratio shows the relationship, fractions show the proportions.
First convert the ratio to a fraction, then multiply by 100. For 3:2, part 1 is 3/5 = 0.6 = 60%, and part 2 is 2/5 = 0.4 = 40%.
Yes! After creating the fractions, simplify each one by dividing numerator and denominator by their GCD. For example, 4/10 from ratio 4:6 simplifies to 2/5.
The same method works. For 2.5:1.5, total = 4. The fractions are 2.5/4 and 1.5/4, which can be expressed as decimals (0.625 and 0.375) or percentages (62.5% and 37.5%).