Find the Compound Ratio of a:b and c:d
Last updated May 13, 2026
Correct Answer:
Option A —
ac:bd
In mathematics, finding the Compound Ratio of two or more ratios means you are combining them into a single ratio. This is done by multiplying the corresponding parts of the ratios together.How to Calculate It
When you have two ratios, a to b and c to d:
Multiply the first terms: Take the "antecedent" (the first part) of both ratios—which are a and c—and multiply them together. This gives you ac.
Multiply the second terms: Take the "consequent" (the second part) of both ratios—which are b and d—and multiply them together. This gives you bd.
When you put these results together, the new compound ratio is ac to bd.
A Simple Example
If you have the ratios 2 to 3 and 4 to 5:
First terms: 2 times 4 equals 8.
Second terms: 3 times 5 equals 15.
The compound ratio is 8 to 15.
Answer verified by Quintessence Classes faculty — Karan Nagar, Srinagar.
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