A ratio is a comparison of two or more quantities expressed in relative terms. It shows how many times one value contains or is contained within another. Ratios can be written using a colon (a:b), as a fraction (a/b), or with the word "to" (a to b).
For example, if a recipe calls for 2 cups of flour and 1 cup of sugar, the ratio of flour to sugar is 2:1. Ratios are used extensively in cooking, construction, finance, and many other fields to express proportional relationships.
Follow these steps to simplify a ratio:
Simplified Ratio = (a ÷ GCD) : (b ÷ GCD)
Where GCD is the Greatest Common Divisor of a and b
Problem: Simplify the ratio 24:36
Solution:
A ratio compares two quantities (like 3:4), while a fraction represents a part of a whole (like 3/4). However, ratios can be converted to fractions and vice versa.
Yes! Ratios can compare multiple quantities, like the ratio of ingredients in a recipe (2:3:1 for flour:sugar:butter). The same simplification principles apply.
Equivalent ratios express the same relationship using different numbers. For example, 2:3, 4:6, and 6:9 are all equivalent ratios, just as equivalent fractions represent the same value.