Listen. How else can the ratio [tex]$4 / 5$[/tex] be written?
A) [tex]$4: 5$[/tex]
B) .2
C) [tex]$5 / 4$[/tex]
D) [tex]$5: 4$[/tex]
Answer (1)
The problem requires finding an equivalent representation of the ratio 5 4 .
Option A, 4 : 5 , is equivalent to 5 4 .
Options B, C, and D are not equivalent to 5 4 .
Therefore, the answer is 4 : 5 .
Explanation
Understanding the Problem We are asked to find an alternative representation of the ratio 5 4 from the given options. A ratio can be expressed in several ways, including as a fraction, a decimal, or using a colon. We will examine each option to determine which one is equivalent to 5 4 .
Analyzing Option A Option A: 4 : 5 can be written as the fraction 5 4 , which is the same as the given ratio.
Analyzing Option B Option B: .2 is equal to 10 2 , which simplifies to 5 1 . This is not equal to 5 4 .
Analyzing Option C Option C: 4 5 is the inverse of 5 4 , so it is not equal to 5 4 .
Analyzing Option D Option D: 5 : 4 can be written as the fraction 4 5 , which is not equal to 5 4 .
Conclusion Therefore, the correct answer is A, since 4 : 5 is equivalent to 5 4 .
Examples
Ratios are used in everyday life, such as when cooking, mixing paint, or calculating proportions. For example, if a recipe calls for a ratio of 1 part flour to 2 parts water, understanding ratios helps you scale the recipe correctly. Similarly, in construction, ratios are used to determine the correct mixture of cement, sand, and gravel for concrete. Understanding ratios ensures that the final product has the desired properties.
