Question
Which of these statements applies to dividing a whole number by a fraction? Select all that apply.
Dividing a whole number by a fraction is the same as adding.
When using fraction bars, circle groups of the divisor.
The quotient will always be a fraction.
The divisor tells the amount in each group, and the dividend tells the total amount.
The result of dividing a whole number by a fraction will always be a fraction.
Dividing a whole number by a fraction is the same as adding.
When using fraction bars, circle groups of the divisor.
The quotient will always be a fraction.
The divisor tells the amount in each group, and the dividend tells the total amount.
The result of dividing a whole number by a fraction will always be a fraction.
Answers
GPT-4o mini
When dividing a whole number by a fraction, the following statements apply:
1. **The divisor tells the amount in each group, and the dividend tells the total amount.** - This statement is correct as the whole number (dividend) is being divided into groups that are defined by the fraction (divisor).
2. **The result of dividing a whole number by a fraction will always be a fraction.** - This statement is incorrect. The result of dividing a whole number by a fraction is typically a whole number or a mixed number, depending on the values involved.
The other statements can be evaluated as follows:
- **Dividing a whole number by a fraction is the same as adding.** - This statement is incorrect.
- **When using fraction bars, circle groups of the divisor.** - This statement may not be applicable in all contexts and doesn’t accurately explain the division process.
- **The quotient will always be a fraction.** - This statement is incorrect. The quotient will not always be a fraction; it can be a whole number.
In summary, the only statement that applies is: **The divisor tells the amount in each group, and the dividend tells the total amount.**
1. **The divisor tells the amount in each group, and the dividend tells the total amount.** - This statement is correct as the whole number (dividend) is being divided into groups that are defined by the fraction (divisor).
2. **The result of dividing a whole number by a fraction will always be a fraction.** - This statement is incorrect. The result of dividing a whole number by a fraction is typically a whole number or a mixed number, depending on the values involved.
The other statements can be evaluated as follows:
- **Dividing a whole number by a fraction is the same as adding.** - This statement is incorrect.
- **When using fraction bars, circle groups of the divisor.** - This statement may not be applicable in all contexts and doesn’t accurately explain the division process.
- **The quotient will always be a fraction.** - This statement is incorrect. The quotient will not always be a fraction; it can be a whole number.
In summary, the only statement that applies is: **The divisor tells the amount in each group, and the dividend tells the total amount.**