Simplify Fractions and Equivalent Fractions

When the GCF of numerator and denominator is 1, the fraction is said to be in its simplest form

We can either divide by their GCF or use Prime Factorization method to express a fraction in the simplest form

To find a fraction in simplest form, divide the numerator and the denominator by their GCF

To find a fraction in simplest form, cancel the common prime factors of numerator and denominator and write the product of remaining factors

To find equivalent fractions of a fraction we either multiply or divide the numerator and the denominator of the given fraction by the same number

For example, we have a fraction 2/4 and we need to find its equivalent fractions

Multiply the numerator and the denominator of the fraction 2/4 by a number (say 4)
2/4 x 4/4 = 8/16

Divide the numerator and the denominator of the fraction 2/4 by a number (say 2)
2/4 ÷ 2/2 = 1/2. So, 2/4 = 8/16 = 1/2