2 8 Types of Fractions 3 8 7 5 1 There are 3 types of fractions: 3 8 7 5 1 2 8 Proper Fractions Improper Fractions Mixed Numbers

These fractions represent part of a whole object. Proper Fractions In a proper fraction, the numerator is smaller than the denominator. Example: 3 5 These fractions represent part of a whole object.

These fractions represent one whole or greater than one whole. Improper Fractions In an improper fraction, the numerator is greater than (or equal to) the denominator. Example: 7 7 4 7 or These fractions represent one whole or greater than one whole.

You can use either a mixed number or an improper fraction to show the same amount. How much pizza is pictured below? We can write this amount as a mixed number: 3 4 1 3 4 1 whole and

You can use either a mixed number or an improper fraction to show the same amount. What if we cut each pizza into fourths this time? How much pizza is pictured now? We can write this amount an improper fraction: 7 4 3 4 4 and

Name the improper fraction and mixed number that each amount represents = =

5 6/5 is not the way to write this answer! Sometimes the sum of two mixed numbers will contain improper fractions that must be converted to proper fractions 2 ⅖ + 3 ⅘ = Add the whole numbers, then add the fractions. 2+3 = 5 ⅖ + ⅘ = 6/5 5 6/5 is not the way to write this answer! Write the improper fraction as a mixed number 6/5 = 1 ⅕ Then add the whole number and your new mixed number. 5 + 1 ⅕ = 6 ⅕

You can use improper fractions to subtract mixed numbers 5 ⅕ - 2 ⅘ = Convert the mixed number to an improper fraction. 26/5 - 14/5 = 12/5 2. Convert the improper fraction to a mixed number. 12/5 = 2 ⅖