Change 0.025 to a ratio?
1) 400:1
2) 4:1
3) 1:40
The Correct Answer and Explanation is:
To convert 0.025 into a ratio, we first express 0.025 as a fraction.
Step 1: Convert 0.025 into a fraction
0.025 can be written as:
[
0.025 = \frac{25}{1000}
]
Step 2: Simplify the fraction
We simplify the fraction (\frac{25}{1000}) by dividing both the numerator and the denominator by their greatest common divisor, which is 25:
[
\frac{25}{1000} = \frac{25 \div 25}{1000 \div 25} = \frac{1}{40}
]
So, 0.025 is equivalent to the fraction (\frac{1}{40}).
Step 3: Convert the fraction to a ratio
A fraction of (\frac{1}{40}) can be written as the ratio:
[
1:40
]
This means that 0.025 is equal to a ratio of 1:40.
Conclusion
The correct answer is:
3) 1:40
Explanation
When converting a decimal to a ratio, the key is to express the decimal as a fraction and then simplify that fraction if possible. In this case, 0.025 is equal to (\frac{25}{1000}), which simplifies to (\frac{1}{40}), giving us the ratio 1:40. The other options (400:1 and 4:1) do not match this simplified form of 0.025. Therefore, the correct answer is 1:40.
Ratios provide a way to compare two quantities, and in this case, we are comparing the quantity of 1 to 40, meaning that for every 1 unit of something, there are 40 units of something else. This ratio notation is commonly used in various fields, including chemistry, finance, and mathematics, to express relationships between different amounts.