Dividing Fractions:

To divide fractions, we follow a simple rule: "Dividing fractions is the same as multiplying by the reciprocal of the second fraction."

To divide the fraction 2/7 by the fraction 8/21, we can rewrite the expression as a multiplication problem. We need to find the reciprocal of the second fraction, which means swapping the numerator and the denominator.

Step 1: Rewrite the problem as a multiplication problem:
2/7 ÷ 8/21 = 2/7 * 21/8

Step 2: Simplify the Problem:
To simplify the problem, we can find the greatest common divisor (GCD) of the numerators and denominators of both fractions. In this case, the GCD of 2 and 8 is 2, and the GCD of 7 and 21 is 7.

Step 3: Divide the GCD from both the numerators and denominators:
2/7 * 21/8 = (2 ÷ 2) / (7 ÷ 7) * (21 ÷ 7) / (8 ÷ 2)
= 1/1 * 3/4

Step 4: Multiply the simplified fractions:
1/1 * 3/4 = (1 * 3) / (1 * 4) = 3/4

Therefore, the division of 2/7 ÷ 8/21 is equal to 3/4.

Final Answer:
2/7 ÷ 8/21 = 3/4

3\4