Question

Which one is in descending order in the following?

(a) 6/7, 4/5, 3/4, 7/9
(b) 6/7, 4/5, 7/9, 3/4
(c) 3/4, 7/9, 4/5, 6/7
(d) 7/9, 3/4, 6/7, 4/5

Answer 1

The correct descending order for the given fractions is 7/9, 3/4, 6/7, 4/5.

Step-by-step explanation:

The correct answer is (d) 7/9, 3/4, 6/7, 4/5.

To determine the descending order, we need to compare the fractions and arrange them from greatest to smallest. Here's the step-by-step process:

1. First, we compare 7/9 and 3/4. To do this, we can find a common denominator, such as 36, for both fractions. We can see that 7/9 is equivalent to 28/36 while 3/4 is equivalent to 27/36. Since 28/36 is greater than 27/36, 7/9 is greater than 3/4.
2. Next, we compare 7/9 and 6/7. Again, we can find a common denominator of 63 for both fractions. We can see that 7/9 is equivalent to 49/63 while 6/7 is equivalent to 54/63. Since 54/63 is greater than 49/63, 6/7 is greater than 7/9.
3. Then, we compare 6/7 and 4/5. Using a common denominator of 35 for both fractions, we find that 6/7 is equivalent to 30/35 while 4/5 is equivalent to 28/35. Since 30/35 is greater than 28/35, 6/7 is greater than 4/5.

By comparing the three fractions, we can conclude that the correct descending order is 7/9, 3/4, 6/7, 4/5. Therefore, option (d) is the correct answer.