Q. Emma scored 18 out of 25 and Frieda scored 35 out of 50 in their respective exams. Who performed better?
Solution:
Method 1: Make the denominators common by taking LCM and compare the numerators.
Since 50 is a multiple of 25, 50 becomes the LCM of the two numbers.
| Emma | Frieda |
| 18 × 2  36
——- =— 25 × 2  50 |
35
——- 50 |
So comparing the numerators, 36 > 35. Thus, Emma performed better than Frieda.
Method 2: By percentage.
Percent means out of 100.
In Emma’s case to get a 100 in the denominator, multiply the denominator and the numerator by 4.
|
Emma |
| 18 × 4   72
——–=—-= 72% 25 × 4   100 |
Thus, Emma’s percentage is 72.
In Frieda’s case to get a 100 in the denominator, multiply the denominator and the numerator
by 2.
|
Frieda |
| 35 × 2    70
——– = —- = 70% 50 × 2   100 |
Thus, Frieda’s percentage is 70.
Since 72% > 70%, therefore, Emma scored better than Frieda.