Answer: 35/18
Explanation:
1. Invert the second fraction: To divide fractions, you need to multiply the first fraction by the reciprocal, which is pretty much the flip version of the second fraction. In this case, the reciprocal of 2/5 is 5/2. So, your new equation will become:
7/9 x 5/2
2. Multiply the numerators: Now that we found our reciprocal, we can just multiply straight through both fractions. So, we're going to multiply our numerators first 7 x 5 = 35, so 35 is our new numerator.
3. Multiply the denominators: Now, that we have our numerators figured out, we can focus on the denominators. Our denomitorial numbers are 9 and 2. So, all we have to do is just multiply. 9 x 2 = 18. So, 18 is our new denominator.
4. Simplify, if possible: If the resulting fraction can be simplified, you can simplify it by dividing both the numerator and denominator by their greatest common factor. In this question 35/18 cannot be simplified because there's no number that can go evenly into both 35 and 18 without creating a decimal.
So, the result of the division 7/9 ÷ 2/5 is 35/18.