Skip to main contentSkip to solution

Arrange the following fractions in descending order.

(A) 59\frac{5}{9}

(B) 711\frac{7}{11}

(C) 815\frac{8}{15}

(D) 1117\frac{11}{17}

Solution

✅ Correct Option: 4

We know that 19=0.11111....\frac{1}{9}=0.11111....

So 19×5=0.5555....\frac{1}{9}\times5=0.5555.... --> A

And 111=0.09090909...\frac{1}{11}=0.09090909...

So 111×7=0.636363...\frac{1}{11}\times7=0.636363... --> B

Since we have established B > A, we can eliminate Options 1 and 2.

We just need to find C now.

815=roughly 0.53\frac{8}{15}=\text{roughly } 0.53 --> C, which is less than A.

Hence it's Option 4

Keyboard Shortcuts

  • Left arrow: Previous question
  • Right arrow: Next question
  • S key: Jump to solution
  • Q key: Jump to question