What does the ratio 36:18 equal?
The Correct Answer and Explanation is:
The ratio 36:18 can be simplified by dividing both numbers by their greatest common divisor (GCD). The GCD of 36 and 18 is 18.
To simplify the ratio, divide both parts by 18:
[
\frac{36}{18} = 2
]
[
\frac{18}{18} = 1
]
Thus, the simplified ratio is 2:1.
Explanation of Ratios
A ratio is a way to compare two quantities by division, representing how much of one thing there is compared to another. Ratios can be written in several forms: as a fraction, with a colon (:) like 36:18, or using the word “to” (36 to 18). They help to understand relationships between numbers, making them useful in various fields, including mathematics, finance, cooking, and science.
In this case, the ratio of 36:18 indicates that for every 36 units of the first quantity, there are 18 units of the second quantity. When simplified to 2:1, it shows that for every 2 units of the first quantity, there is 1 unit of the second quantity. This simplification makes it easier to understand the relationship between the two numbers.
Ratios can be useful in real-life situations. For example, in cooking, if a recipe calls for 36 grams of flour and 18 grams of sugar, understanding the ratio helps determine how to adjust the recipe for different serving sizes. If you wanted to make the recipe for a larger group, you could multiply the ratio by a common factor to maintain the proportions.
In summary, the ratio 36:18 simplifies to 2:1, highlighting the relationship between the two quantities and offering practical applications in everyday life. Understanding ratios enhances our ability to compare quantities and make informed decisions based on those comparisons.