If two fractions have different numerators and denominators it is difficult to
determine which fraction is larger.
It is easier to determine which is larger if both fractions have the same
denominator.
Multiply the numerator and denominator of one fraction by the same number so
both fractions will have the same denominator. For example, if 5/12 and 1/3 are being
compared, 1/3 should be multiplied by 4/4. It does not change the value of 1/3 to
be multiplied by 4/4 (which is equal to 1) because any number multiplied by 1 is still
the same number. After the multiplication (1/3 * 4/4 = 4/12), the comparison can be made between
5/12 and 4/12.
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.
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