1. 3.2 – Mixed number notation
Catherine Conway
Math 081

2. NOTATION
A mixed number is the sum of a whole number and a proper fraction.
𝟔 𝟑 𝟓 =𝟔+ 𝟑 𝟓
𝟐 𝟓 𝟖 =𝟐+ 𝟓 𝟖
𝟏𝟒 𝟐 𝟕 =𝟏𝟒+ 𝟐 𝟕

3. Changing Mixed Numbers to Improper Fractions
𝟔 𝟑 𝟓
Multiply the whole number by the denominator.
Add the result to the numerator to get the numerator or the improper fraction.
Keep the denominator the same.
6 x 5 = 30
= 33
𝟑𝟑 𝟓 =

4. Change improper fractions to mixed numbers
Use long division and remainder to write a mixed number. 𝟕
𝟒𝟔 𝟕 6
Divide the numerator by the denominator.
Use the remainder and the divisor to write the fraction and the quotient to write the whole number. 7)
4 6
-4 2 4
𝟔 𝟒 𝟕