a and 𝑏b are both integers and 𝑎𝑏ba​ equals 15.2515.25. Which of the following could be the remainder of 𝑎𝑏ba​ ?Select all that apply.7711111313

The question seems to be asking for possible remainders when an integer 'a' is divided by another integer 'b', given that the division results in 15.25.

The decimal part of the quotient, .25, is the key to finding the remainder.

When you divide a number and it results in a decimal, that decimal can be thought of as the remainder divided by the divisor.

In this case, .25 is the decimal part of the quotient, so we can set up the equation .25 = r/b, where r is the remainder we're trying to find.

To solve for r, we multiply both sides of the equation by b:

.25b = r

Since b is an integer, the only way for .25b to also be an integer (since remainders must be integers) is for b to be a multiple of 4 (since .25 is equivalent to 1/4).

So, the possible values for the remainder are 1, 2, 3, or 4 (since these are the only integers that can result from multiplying .25 by an integer).

Therefore, the possible remainders when a is divided by b are 1, 2, 3, and 4.