Transcript MULTIPLYING MIXED NUMBERS

MULTIPLYING MIXED
NUMBERS
OBJECTIVE:
I will multiply mixed numbers
(using cross canceling to simplify)
VOCABULARY:
MIXED NUMBER – a number made up
of a whole number and a fraction
IMPROPER FRACTION – a fraction
greater than 1
The numerator is larger than the
denominator (TOP HEAVY)
MULTIPLYING MIXED NUMBERS
EX: 4 2/7 X 1 2/5
STEP 1: Change all mixed numbers to
improper fractions
TO DO THIS:
*MULTIPLY the whole number by the
denominator
*ADD that product to the numerator
***REMEMBER the denominator stays
the SAME
You should have a new problem of
30/7 x 7/5
MULTIPLYING MIXED NUMBERS
EX: 4 2/7 X 1 2/5
STEP 1: Change all mixed numbers to
improper fractions
You should have a new problem of
30/7 x 7/5
STEP 2: MULTIPLY
(don’t forget to cross cancel)
30 X 7
=6x1 =6
7
5
1x1 1
MULTIPLYING MIXED NUMBERS
EX: 4 2/7 X 1 2/5
STEP 1: Change all mixed numbers to improper fractions
You should have a new problem of
30/7 x 7/5
STEP 2: MULTIPLY
(don’t forget to cross cancel)
30 X 7
=6x1 =6
7
5
1x1
1
STEP 3: Rewrite in lowest terms
(REDUCE/SIMPLIFY)
6/1 = 6
If your answer is improper (top heavy)
then TOP goes in the BOX
MULTIPLYING MIXED NUMBERS
EX: If my answer was 14/3
TOP GOES IN THE BOX
4
3 14
-12
2
*Your REMAINDER becomes your
NUMERATOR
**The DENOMINATOR stays the SAME!
4 2/3
MULTIPLYING MIXED NUMBERS
EX: 8 X 2 ¼
STEP 1: Change all mixed numbers and
whole numbers to improper fractions
You should have a new problem of
8/1 x 9/4
STEP 2: MULTIPLY
(don’t forget to cross cancel)
8 X 9
= 2 x 9 = 18 = 18
1
4
1x1
1
STEP 3: SIMPLIFY