Question

"when you divide a whole number by a fraction with a numerator of 1, explain how you can find the quotient"

Answer 1

To divide a whole number by a fraction with a numerator of 1, multiply the whole number by the denominator of the fraction, as division by a fraction is the same as multiplying by its reciprocal.

Step-by-step explanation:

When you divide a whole number by a fraction with a numerator of 1, you are effectively multiplying the whole number by the reciprocal of the fraction. The reciprocal of a fraction is created by flipping the numerator and denominator. In the case of a fraction with a numerator of 1, this simply means that you take the original whole number and multiply it by the denominator of the fraction.

For example, dividing a whole number by ⅓ (which is 1/3) is the same as multiplying that number by 3 (since 3/1 is the reciprocal of 1/3). This is because multiplication and division are inverse operations, and multiplying by the reciprocal is the same as dividing by the original number. Therefore, when the units of the numerator in the dividend are canceled by the units of the denominator in the divisor, the remaining units are those of the resulting quotient. The operation preserves the expression as an equality, as long as the same operation is applied to both sides of the equation.

Answer 2

In this item, we are asked for the methodology to arriving the answer when the whole number is divided by a fraction with 1 as a numerator. If example we have the whole number as 4 and the fraction with 1 as numerator is 1/2, the division would become, 4/(1/2). We multiply the whole number by the reciprocal of the given fraction which then becomes, 4(2/1). The final answer would be 12.