Question

Which of the following fractions is less than \(8 \frac{7}{8}\)?
1. \(\frac{89}{10}\)
2. \(\frac{80}{9}\)
3. \(\frac{43}{6}\)
4. \(\frac{82}{9}\)

Answer 1

Correct Answer - Option 3 : \(\frac{43}{6}\)

Given :

The fraction is 71/8

Method used :

Checking each option by dividing it and changing it to decimal form.

Calculation :

On dividing

71/8 = 8.87

Now,

Option (1)

⇒ 89/10 = 8.9      -----(greater than 8.87)

Option (2) 

⇒ 80/9 = 8.88      -----(greater than 8.87)

Option (3)

⇒ 43/6 = 7.16      -----(less than 8.87)

Option (4)

⇒ 82/9 = 9.11      -----(greater than 8.87)

∴ clearly we can see that option (3) is correct.