What is the simplest form of the fraction 21/49?

To simplify the fraction 21/49, you need to find the greatest common divisor (GCD) of the numerator (21) and the denominator (49).

The factors of 21 are 1, 3, 7, and 21. The factors of 49 are 1, 7, and 49. The highest common factor shared by both numbers is 7.

Now, divide both the numerator and the denominator by their GCD:

• 21 divided by 7 equals 3.

• 49 divided by 7 equals 7.

This gives you the simplified fraction of 3/7. Therefore, this simplification is the most reduced form of the original fraction, indicating that option B is the correct answer. The simplified form represents the same portion of a whole (21 parts out of 49) in a clearer and simpler manner.