The difference of two rational numbers is

The difference of two rational numbers is

• A. Irrational
• B. Rational
• C. Zero
• D. Undefined

Answer: (B)

Rational numbers are numbers that can be written as a fraction of integers with a nonzero denominator. When you subtract two such numbers, you can combine them into a single fraction. If you have a/b and c/d (with b and d not zero), their difference is (ad − bc)/(bd). The numerator and denominator are integers, and the denominator isn’t zero, so the result is again a rational number. Even if the difference is zero, like 2/5 − 2/5, you can write it as 0/1, which is still rational. So the difference of two rational numbers is rational. For example, 3/4 − 1/6 = (18 − 4)/24 = 14/24 = 7/12, a rational number.

Rational numbers are numbers that can be written as a fraction of integers with a nonzero denominator. When you subtract two such numbers, you can combine them into a single fraction. If you have a/b and c/d (with b and d not zero), their difference is (ad − bc)/(bd). The numerator and denominator are integers, and the denominator isn’t zero, so the result is again a rational number. Even if the difference is zero, like 2/5 − 2/5, you can write it as 0/1, which is still rational. So the difference of two rational numbers is rational. For example, 3/4 − 1/6 = (18 − 4)/24 = 14/24 = 7/12, a rational number.