2VocabularyEquivalent fractions are fractions that name the same amount.24=84
3Creating Equivalent Fractions Multiply the numerator and denominator by the same number.Divide the numerator and denominator by the same number (it has to be a common factor to work with division)We can choose any number to multiply by. Let’s multiply by 2.3x 26So, 3/5 is equivalent to 6/10.=5x 210
4If you have larger numbers, you can make equivalent fractions using division. Divide by a common factor.428÷ 7In this example, we can divide both numbers by 7.=÷ 753528/35 is equivalent to 4/5.
5Fractions in Simplest Form Fractions are in simplest form when the numerator and denominator do not have any common factors besides 1.Examples of fractions that are in simplest form:4238511
6Writing Fractions in Simplest Form. Find the greatest common factor (GCF) of the numerator and denominator.Divide both numbers by the GCF.
7Example:520÷ 4=Simplest Form728÷ 420: 1, 2, 4, 5, 10, 20202828: 1, 2, 4, 7, 14, 281 x 202 x 104 x 51 x 282 x 144 x 7Common Factors: 1, 2, 4GCF: 4We will divide by 4.
8Practice: Put each fraction in its simplest form 9) 7/28GCF: 7 divide both by 7 1/410) 9/15GCF: 3 divide both by 3 3/511) 10/42GCF: 2 divide both by 2 5/2112) 12/42GCF: 6 divide both by 6 2/7