When you divide whole number by a fraction,how does the quotient compare with the whole number?

It depends upon what the fraction is. If it is a positive fraction that is less than 1, the quotient is larger. It may or may not be a "whole number".

When you divide a whole number by a fraction, the quotient is usually larger than the whole number.

To understand why this is the case, let's consider a specific example: dividing 6 by 1/2.

One way to find the quotient is to convert the division into multiplication. In other words, we can rewrite 6 ÷ (1/2) as 6 × (2/1).

Now, when we multiply fractions, we simply multiply the numerators to get the new numerator and multiply the denominators to get the new denominator. In this case, 6 times 2 equals 12, and 1 times 1 equals 1. Therefore, the quotient is 12/1, which simplifies to 12.

As you can see, the quotient (12) is larger than the whole number (6). This is because division by a fraction is effectively the same as multiplication by its reciprocal. In this case, the reciprocal of 1/2 is 2/1, which is why the quotient is larger.

In general, when you divide a whole number by a fraction, the resulting quotient will be larger than the whole number because the reciprocal of the fraction is always greater than 1.