Question

Which fraction is largest among \(3 \over13 \), \(2 \over15 \), \(4 \over17\)

1. \(3 \over 13\)
2. \(2 \over15\)
3. \(4 \over 17 \)
4. All are equal

Answer 1

Correct Answer - Option 3 : \(4 \over 17 \)

Given

\(3 \over13 \), \(2 \over15 \), \(4 \over17\)

Concept used

Fractions

Calculation

To know the largest fraction we need to compare the three fractions.

Comparing two fractions \(3 \over13 \) and \(2 \over15 \)

⇒ 3 × 15 = 45

⇒ 13 × 2 = 26

So, \(3 \over13 \) is larger.

Comparing \(3 \over13 \) and \(4 \over17\)

⇒ 3 × 17 = 51

⇒ 13 × 4 = 52

\(4 \over17\) is larger

Comparing \(4 \over17\) and \(2 \over15 \)

⇒ 4 × 15 = 60

⇒ 17 × 2 = 34

Comparing all three we get \(4 \over17\) is the largest among all.