If two objects have different numerators and denominators it is difficult to
determine which one is larger.
You can make it easier to decide which is larger by making each have the same
denominator. When both the numerator and denominator of a fraction are multiplied
by the same number, the fraction is equal to the first fraction. (1/2 is the same as
2/4).
Multiply the numerator and denominator of one fraction by the same number to get
both fractions to have the same denominator.
You may have to multiply both fractions by different numbers to produce the same
denominator for both fractions. For example if 2/3 and 3/4 are compared, we need to multiply
2/3 by 4/4 to give 8/12 and multiply 3/4 by 3/3 to give 9/12. The fraction 3/4
which is equal to 9/12 is larger than 2/3 which is equal to 8/12.
The fraction with the larger numerator is the larger fraction if the denominators
are the same.