Q:

When the smaller of two fractions is divided by the larger, the result is 7/9. Of the smaller is 8/3, find the larger.

Accepted Solution

A:
Answer:Larger fraction = 24/7Step-by-step explanation:Given that:Smaller fraction = 8/3Larger fraction = ?Let the larger fraction is x/y then according to the statement:8/3 / x/y = 7/9Rule: 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 = 7/98y/ 3x = 7/9      Now multiplying both sides by 3/8 we get8y/ 3x * 3/8 = 7/9 *3/8After cancellation:y/x = 21/ 72By reducing it to lowest form (dividing both by 3)We ge:y / x = 7/ 24This means y= 7                    x = 24So the larger fraction will become: x/y =24/7      Proof:Smaller fraction / Larger fraction = 7/98/3 / 24/7 = 7/9Applying Rule:8/3 * 7/24 = 7/956/ 72 = 7/9Reducing it to lowest fraction: (dividing both by 8)7/9 = 7/9 Hence provedI hope it will help you!