WARM UPS ­ NO Calculators!!!!!
Answers in lowest terms.
1) 7/9 + 1/9
2) 3/4 ­ 5/8
3) t + 4t
5 5
4) ­5 ­ 8
9x 9x
5) 5a ­ a
3 6
1
5.4 Multiplying Fractions
Obj. Multiply Fractions and Mixed Numbers How do we multiply fractions?
Multiply Numerators
Multiply Denominators
3/5 ∙ 4/7
7/10 ∙ ­4/21 Reduce before you multiply if possible.
Makes your work easier.
You MUST change mixed numbers into improper fraction before
multiplying. 7 2/3 ∙ 2
7/10
6(4⅔)
4 1/8 ∙ (­1 2/3
)
2
Algebraic Fractions
m/3 ∙ (­12/5)
Once again, reduce before
you multiply to make your
work easier.
n 2 ∙ 5n 3
10 9
3v ∙ 16
2
4 9v
3z 5 ∙ 15
25 2z 4
3
5.5 Division of Fractions
Obj. Divide fractions and mixed numbers
Definition of Division is to MULTIPLY BY THE RECIPROCAL
(multiplicative inverse)
(Keep, Change, Flip)
Fraction Reciprocal
2/3
­7/6
8
­1/5
2 3/5
­2/5 ÷ 4/7
You MUST change a mixed number to an improper fraction before
dividing.
4 1/6 ÷ (­1
2/3
)
3/8 ÷ 9 4
Order of operations still holds true.
5/9 ÷ (4/9 ­ 3/18)
1/2 + 2/3 ∙ 3
3x ÷ 2
4/5 ÷ 2x
5/6 ÷ 2/3x
2/3 ∙ 3
1) To add or subtraction fractions you MUST have a common denominator
2) When adding (or subtracting) fractions you CANNOT cancel (simplify)
until you have a answer. This priviledge is reserved for only. mutiplication 5
Assignment 5.4 page 240
10 ­ 34 even
5.4 page 245
16 ­ 34 even
38 ­ 48 even
6