Prealgebra for Two-Year Colleges/Appendix (procedures)/Reducing fractions
Equivalent fractions represent the same number, although they are written differently. For example,
represent the same amount. The latter fraction has a smaller denominator, so we say the fraction has been reduced.
You can reduce a fraction by dividing the numerator and denominator by the same number. For example,
When we ask you to simplify a fraction or reduce a fraction such as 75/100, we want you to find the equivalent fraction with the smallest possible denominator. In this case, the fully reduced form is 3/4. The only number that we could divided into both 3 and 4 would be 1, but that would not reduce the fraction any further.
You are also allowed to multiply the numerator and denominator by the same number. We usually call this finding equivalent fractions.