Answer:
Larger fraction = 24/7
Explanation:
Given that:
Smaller fraction = 8/3
Larger fraction = ?
Let the larger fraction is x/y then according to the statement:
8/3 / x/y = 7/9
Rule: When there is a fraction in the denominator of a fraction, the lower fraction is reversed and multiplied with the upper one.
So, according to rule:
8/3 * y/x = 7/9
8y/ 3x = 7/9
Now multiplying both sides by 3/8 we get
8y/ 3x * 3/8 = 7/9 *3/8
After cancellation:
y/x = 21/ 72
By reducing it to lowest form (dividing both by 3)
We ge:
y / x = 7/ 24
This means y= 7
x = 24
So the larger fraction will become: x/y =24/7
Smaller fraction / Larger fraction = 7/9
8/3 / 24/7 = 7/9
Applying Rule:
8/3 * 7/24 = 7/9
56/ 72 = 7/9
Reducing it to lowest fraction: (dividing both by 8)
7/9 = 7/9
Hence proved
I hope it will help you!