The document discusses adding and subtracting mixed numbers. It explains that a mixed number contains a whole number and a fraction. It provides steps for converting between improper fractions and mixed numbers, and guidelines for subtracting mixed numbers from whole numbers or other mixed numbers. Examples are given for adding and subtracting mixed numbers with different denominators or those requiring simplification.

1. Adding and Subtracting Mixed Numbers
Mixed Number – a whole number and a fraction put together
5 1/2 3 3/4 19 5/3
Draw number line and label – 2 ¼ to 2 ¼. Plot points on number line and label them A, B, C, and D.
A=
B=
C=
D=
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*Converting Improper Fractions to Mixed Numbers:
9/8 Divide 9 ÷ 8 = 1 1/8
(Improper Fraction) (Mixed Number)
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*Converting Mixed Numbers to Improper Fractions:
3 1/3 Multiply whole number & denominator. 7/3
(Mixed Number) Add numerator. (Improper Fraction)
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*Subtracting a Mixed Number from a Whole Number. 3 – 1 1/4
Work the following examples:
Ex. 1 3 1/3 + 4 1/4 = (In simplest form)
Ex. 2 4 1/8 + 9 5/8 = (Must simplify answer)
Ex. 3 7 6/10 + 8 7/10 = (Must divide improper fraction)
Ex. 4 4 6/5 + 4 8/4 = (Must simplify and divide)
Ex. 5 5 1/4 – 1 3/4 = (Must regroup)
Ex. 6 1 2/15 + 7 1/6 = (Unlike denominators)
Independent Practice: 4 3/7 – 1 5/7 = 5 – 3/11 = 15 – 13 4/5= 7 3/4 – 5 2/3 =