MULTIPLYING MIXED MULTIPLYING MIXED NUMBERSNUMBERS OBJECTIVE: OBJECTIVE:

I will multiply mixed numbers I will multiply mixed numbers (using cross canceling to simplify)(using cross canceling to simplify)

VOCABULARY:VOCABULARY:MIXED NUMBERMIXED NUMBER – a number made up – a number made up

of a whole number and a fractionof a whole number and a fractionIMPROPER FRACTIONIMPROPER FRACTION – a fraction – a fraction

greater than 1 greater than 1 The numerator is larger than the The numerator is larger than the

denominator (TOP HEAVY)denominator (TOP HEAVY)

MULTIPLYING MIXED NUMBERSMULTIPLYING MIXED NUMBERS EX: 4 2/7 X 1 2/5EX: 4 2/7 X 1 2/5

STEP 1:STEP 1: Change all mixed numbers to Change all mixed numbers to improper fractionsimproper fractions

TO DO THIS:TO DO THIS:**MULTIPLYMULTIPLY the whole number by the the whole number by the

denominatordenominator**ADDADD that product to the numerator that product to the numerator

***REMEMBER the ***REMEMBER the denominator stays denominator stays the SAMEthe SAME

You should have a new problem of You should have a new problem of 30/7 x 7/530/7 x 7/5

MULTIPLYING MIXED NUMBERSMULTIPLYING MIXED NUMBERS EX: 4 2/7 X 1 2/5EX: 4 2/7 X 1 2/5

STEP 1:STEP 1: Change all mixed numbers to Change all mixed numbers to improper fractionsimproper fractions

You should have a new problem of You should have a new problem of

30/7 x 7/530/7 x 7/5

STEP 2: STEP 2: MULTIPLYMULTIPLY

(don’t forget to (don’t forget to cross cancelcross cancel))

30 X 7 = 6 x 1 = 6 30 X 7 = 6 x 1 = 6

7 5 1 x 1 17 5 1 x 1 1

MULTIPLYING MIXED NUMBERSMULTIPLYING MIXED NUMBERS EX: 4 2/7 X 1 2/5EX: 4 2/7 X 1 2/5

STEP 1:STEP 1: Change all mixed numbers to Change all mixed numbers to improper fractionsimproper fractions

You should have a new problem of You should have a new problem of

30/7 x 7/530/7 x 7/5

STEP 2: STEP 2: MULTIPLY MULTIPLY

(don’t forget to (don’t forget to cross cancelcross cancel))

30 X 7 = 6 x 1 = 6 30 X 7 = 6 x 1 = 6

7 5 1 x 1 17 5 1 x 1 1

STEP 3: STEP 3: Rewrite in Rewrite in lowest termslowest terms (REDUCE/SIMPLIFY) (REDUCE/SIMPLIFY) 6/1 = 66/1 = 6

If your answer is improper (top heavy) then If your answer is improper (top heavy) then TOP goes in the BOXTOP goes in the BOX

MULTIPLYING MIXED NUMBERSMULTIPLYING MIXED NUMBERS EX: If my answer was 14/3EX: If my answer was 14/3

TOP GOES IN THE BOXTOP GOES IN THE BOX

44

33 14 14

-12-12

22

*Your REMAINDER becomes your *Your REMAINDER becomes your NUMERATORNUMERATOR

**The DENOMINATOR stays the SAME!**The DENOMINATOR stays the SAME!

44 22//33

MULTIPLYING MIXED NUMBERSMULTIPLYING MIXED NUMBERS EX: 8 X 2 ¼ EX: 8 X 2 ¼

STEP 1:STEP 1: Change all mixed numbers and Change all mixed numbers and whole numbers to whole numbers to improper fractionsimproper fractions

You should have a new problem of You should have a new problem of

8/1 x 9/48/1 x 9/4

STEP 2: STEP 2: MULTIPLYMULTIPLY

(don’t forget to (don’t forget to cross cancelcross cancel) )

8 X 9 = 2 x 9 = 18 = 8 X 9 = 2 x 9 = 18 = 1818

1 4 1 x 1 11 4 1 x 1 1

STEP 3:STEP 3: SIMPLIFYSIMPLIFY