The fraction 4/10 can be written as the following decimal and percent:
A. 0.4, 4% B. 0.4, 40% C. 0.4, 0.4% D. 0.04, 4%
The Correct Answer and Explanation is:
To determine the decimal and percentage equivalent of the fraction ( \frac{4}{10} ), we can follow a straightforward process.
First, let’s convert the fraction into a decimal. The fraction ( \frac{4}{10} ) means that 4 is divided by 10. When performing this division:
[
4 \div 10 = 0.4
]
Thus, the decimal equivalent of ( \frac{4}{10} ) is ( 0.4 ).
Next, we need to convert the decimal into a percentage. To do this, we multiply the decimal by 100. The calculation looks like this:
[
0.4 \times 100 = 40
]
Therefore, the percentage equivalent of ( 0.4 ) is ( 40\% ).
Now, let’s review the answer options provided:
- A. 0.4, 4%
- B. 0.4, 40%
- C. 0.4, 0.4%
- D. 0.04, 4%
From our calculations, we found that ( \frac{4}{10} ) is equal to ( 0.4 ) in decimal form and ( 40\% ) in percentage form. Comparing our results to the answer choices, we can see that Option B (0.4, 40%) is the correct answer.
This process of converting fractions to decimals and percentages is fundamental in mathematics and is particularly useful in various applications, including finance, statistics, and everyday calculations. Understanding how to perform these conversions allows individuals to interpret and present numerical information in different forms effectively. It also aids in comparing values, making informed decisions, and analyzing data across diverse contexts.
In conclusion, the correct answer is B. 0.4, 40%.