What is the value of the ratio 4:5
The Correct Answer and Explanation is :
A ratio of 4:5 means that for every 4 units of one quantity, there are 5 units of another. To find the value of this ratio as a fraction or decimal, we simply divide the two numbers:
[
\frac{4}{5} = 0.8
]
Thus, the value of the ratio 4:5 is 0.8.
Explanation
Ratios are used to compare two quantities by showing the relative size of one to the other. They help in understanding the proportional relationship between these quantities. In this case, the ratio 4:5 means for every 4 parts of one item, there are 5 parts of the other.
- The first number (4) is called the antecedent, and the second number (5) is called the consequent.
To find the ratio’s value as a number, we convert it into a fraction:
[
\text{Ratio value} = \frac{\text{Antecedent}}{\text{Consequent}} = \frac{4}{5} = 0.8
]
This shows that the first quantity is 0.8 times the second quantity. The decimal form, 0.8, helps quantify the comparison between the two values.
Ratios are often used in real-life scenarios. For example, if a recipe requires a 4:5 ratio of sugar to flour, for every 4 cups of sugar, you would use 5 cups of flour. Understanding how to work with ratios is important for scaling up or down in recipes, budgeting, dividing tasks, and many other activities where quantities need to be balanced.
In conclusion, the value of the ratio 4:5 is 0.8, meaning that the first quantity is 80% of the second.