Identify the group that does not contain equivalent fractions, decimals, and percents
To identify the group that does not contain equivalent fractions, decimals, and percents, we need to understand how to convert between these representations.
1. Fractions: Fractions are a way to represent parts of a whole. For example, 1/2 represents one out of two equal parts. To convert a fraction to a decimal, divide the numerator by the denominator. For example, 1/2 is equal to 0.5 as a decimal. To convert a fraction to a percent, multiply the decimal equivalent by 100. For example, 1/2 is equal to 50% as a percent.
2. Decimals: Decimals are another way to represent numbers. For example, 0.75 represents seventy-five hundredths. To convert a decimal to a fraction, write the decimal as the numerator and use a power of ten as the denominator. For example, 0.75 is equal to 75/100, which simplifies to 3/4. To convert a decimal to a percent, multiply by 100 and add the percent symbol. For example, 0.75 is equal to 75% as a percent.
3. Percents: Percents are often used to represent parts of a hundred. For example, 25% represents twenty-five out of one hundred. To convert a percent to a fraction, write the percent as the numerator and 100 as the denominator. For example, 25% is equal to 25/100, which simplifies to 1/4. To convert a percent to a decimal, divide by 100. For example, 25% is equal to 0.25 as a decimal.
Now, to find the group that does not contain equivalent fractions, decimals, and percents, we need to compare the conversions. Typically, when fractions, decimals, and percents are equivalent, their converted forms match. So, we need to find a group in which these conversions do not match.
For example:
- 1/2 = 0.5 = 50%
- 3/4 = 0.75 = 75%
- 2/5 = 0.4 = 40%
- 1/8 = 0.125 = 12.5%
From these examples, we can see that the group that does not contain equivalent fractions, decimals, and percents is:
- 2/5, 0.4, 40%
These values do not match in their conversions, indicating that they are not equivalent.