3.2 – Mixed number notation Catherine Conway Math 081

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

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 30 + 3 = 33 𝟑𝟑 𝟓 =

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