Give an example of fractions that you would compare by finding common denominators, and an example of fractions you would compare by finding common numeratore

Correct answer: 2/3 < 3/4

Step-by-step explanation:

We will compare the following two fractions:

2/3 and 3/4

First we will find common denominator:

The common denominator for 3 and 4 is 12, then we will multiply

first fraction with 4 and second with 3 and get:

8/12 and 9/12 and we conclude that 9/12 is greater than 8/12

respectively that 3/4 is greater than 2/3

Second we will find common numerator:

The common numerator for 2 and 3 is 6, then we will multiply

first fraction with 3 and second with 2 and get:

6/9 and 6/8 and we conclude that 6/8 is greater than 6/9, the reason is, the greater the fraction, the smaller the denominator

respectively that 3/4 is greater than 2/3

God is with you!