Combine multiple ratios into one clean result fast. Check simplification, decimals, percentages, and plotted values. Built for students needing reliable ratio practice and review.
Use positive whole numbers or decimals. The form uses three columns on large screens, two on smaller screens, and one on mobile.
| Input Ratios | Antecedent Product | Consequent Product | Compound Ratio | Simplified Ratio | Decimal Value |
|---|---|---|---|---|---|
| 2:3, 4:5, 6:7 | 48 | 105 | 48:105 | 16:35 | 0.4571 |
| 1.5:2, 3:4, 5:2.5 | 22.5 | 20 | 9:8 | 9:8 | 1.125 |
| 8:9, 10:3 | 80 | 27 | 80:27 | 80:27 | 2.9630 |
If the given ratios are a:b, c:d, e:f, and g:h, then the compound ratio is:
(a × c × e × g) : (b × d × f × h)
The calculator multiplies all antecedents together and multiplies all consequents together. It then simplifies the final ratio by dividing both terms by their greatest common divisor.
The decimal value of the compound ratio is:
(Product of Antecedents) ÷ (Product of Consequents)
A compound ratio is formed by multiplying the antecedents of several ratios and multiplying the consequents of those same ratios. The resulting pair is then simplified into one final ratio.
Yes. This calculator accepts positive decimals and whole numbers. It converts decimals into exact fractional form internally, then simplifies the final compound ratio whenever possible.
Simplifying makes the compound ratio easier to read and compare. The calculator divides both terms by their greatest common divisor to produce the lowest equivalent form.
Normalized forms show the ratio with one side set to 1. This helps when comparing relative sizes, rates, or scale relationships in algebra, finance, and measurement work.
This version allows you to combine between two and six ratios in one calculation. That covers most classroom, exam, and practical compound ratio problems.
The graph compares the compounded antecedent product and compounded consequent product. It gives a quick visual sense of which side of the ratio is larger.
No. This tool requires positive numbers only. Zero would break the meaning of many ratio comparisons and can make simplification or normalization misleading.
Compound ratios are useful in algebra practice, chained comparisons, scale interpretation, map work, business analysis, and any situation where several linked ratios must become one result.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.