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.

1 answer

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.