Answer:
7/10
Explanation:
We can divide and simplify the result using the following steps:
Step 1: Multiply 2/5 by the reciprocal of 4/7:
2/5 ÷ 4/7
2/5 * 7/4
14/20
Step 2: Divide 14 and 20 by their greatest common factor (GCF):
- The greatest common factor (GCF) of two numbers is the highest value by which the two numbers can be evenly divided by.
Since the GCF of 14 and 20 is 2, we divide both 4 and 20 by 2 to simplify the fraction:
(14 ÷ 2) / (20 ÷ 2)
7/10
Therefore, 2/5 ÷ 4/7 is 7/10.