- The fraction with the smaller numerator is smaller.
- The fraction with the larger numerator is larger.

- The fraction with the smaller denominator is larger.
- The fraction with the larger denominator is smaller.

**Note: **

There are instances that the fractions to be compared have different denominators.The conditions above cannot be applied. Below are the steps to be considered:

- Find the least common denominator (LCD).
- Convert the fractions into equivalent fractions with the LCD.
- Since the fractions have similar denominators, compare the numerators.

Since the fractions have similar denominators, compare the numerators.

Since `11` is smaller than `13`, therefore `11/15` is smaller.

Since the fractions have similar numerators, compare the denominators.

Since `8` is smaller than `12`, therefore `7/8` is larger.

Since the fractions have unlike denominators, get the least common denominator (LCD).

9 | = | 3 | × | 3 | ||

11 | = | 3 | × | 3 | × | 11 |

LCD | = | 3 | × | 3 | × | 11 |

Converting the fractions into equivalent fractions with 99 as the denominator:

`5/9 × 11/11 = 55/99`

`6/11 × 9/9 = 54/99`

Since the fractions have similar denominators, compare the numerators.

Since `55` is greater than `54`, therefore `55/99 > 54/99 or 5/9 > 6/11`.

© 2021 iPracticeMath | All Rights Reserved | Terms of Use.