How would a solution with a ratio of 1:250 be represented by a fraction? a decimal? a percentage?
The Correct Answer and Explanation is:
Correct Answers:
- Fraction: 1250\frac{1}{250}2501
- Decimal: 0.004
- Percentage: 0.4%
Explanation
A solution with a ratio of 1:250 means that for every 1 part of solute, there are 250 total parts, including both solute and solvent. This type of ratio is often used in chemistry or medicine to describe dilutions or concentrations.
To express this ratio as a fraction, you write:1250\frac{1}{250}2501
This is a straightforward representation showing that the solute makes up one part out of 250 parts in total. This fraction is already in its simplest form and is commonly used in scientific contexts when precision is important.
To convert this into a decimal, divide the numerator by the denominator:1÷250=0.0041 \div 250 = 0.0041÷250=0.004
This means that the solute comprises 0.004 of the whole solution. Decimals are often used when a more flexible or calculator-friendly format is needed, such as in data analysis or measurement conversions.
To express this as a percentage, multiply the decimal by 100:0.004×100=0.4%0.004 \times 100 = 0.4\%0.004×100=0.4%
This means that 0.4% of the solution is solute, and the remaining 99.6% is solvent. Percentages are a common way to express concentration because they are intuitive and easy to compare. For instance, a 0.4% saline solution would contain 0.4 grams of salt in every 100 milliliters of solution.
Summary:
The ratio 1:250 is equivalent to:
- Fraction: 1250\frac{1}{250}2501
- Decimal: 0.004
- Percentage: 0.4%
Each form communicates the same idea but is suited to different practical and academic needs, depending on the context.
