Equivalent fractions are fractions that represent the same number.

The following fractions are equivalent.

The rectangle below is defined to to represent one "whole" rectangle.

The illustration below shoes that the fractions all represent the same portion of the rectangle..

Usually a fraction expressed in lowest terms is used as the representative of all of the fractions equivalent to it. A fraction is expressed in lowest terms if the greatest common factor of the numerator and denominator is one.

Problem

What fraction, expressed in lowest terms, is equivalent to the one below?

Solution

The greatest common factor of 90 and 135 is 45. Divide both the numerator and denominator of the given fraction by 45 to get the fraction expressed in lowest terms below.