

Multiplying and Dividing Fractions
Presentation
•
Mathematics
•
6th - 8th Grade
•
Practice Problem
•
Medium
+8
Standards-aligned
Jessica Battle
Used 7+ times
FREE Resource
22 Slides • 13 Questions
1
Multiplying and Dividing Fractions

2
Multiplying and Dividing Fractions
3
When Multiplying or Dividing fractions, ALWAYS convert Mixed Numbers to Improper Fractions FIRST!
4
Converting Mixed numbers to Improper fractions:
Multiply the whole number and the denominator
Add the numerator to the answer you got
Put your new number over the old denominator
5
Poll
What are the steps for converting a mixed number to an improper fraction?
add and subtract
multiply then add
multiply and divide
divide and subtract
6
Multiple Choice
What is 543 as an improper fraction?
419
320
423
523
7
Now you are ready to Multiply and Divide
8
Math Antics - Multiplying Fractions
https://youtu.be/qmfXyR7Z6Lk
9
ALWAYS SIMPLIFY YOUR ANSWER...either before you multiply by breaking down to prime factors and canceling them or at the end by dividing the numerator and denominator by a common factor.
10
Remember this rhyme to help you every time:
First is fine,
Switch the sign,
Flip the fraction,
Complete the action!
11
Multiple Choice
What is the first step to solving this question:
321×2 41
Multiply the whole numbers together
Ignore the whole numbers and multiply the fractions
Convert to improper fractions
Change the denominators so they match
12
Multiple Choice
Solve this question:
75×43
118
2815
1115
2120
13
If you have a whole number, what do you put under it to make it a fraction?
14
1
15
Multiple Choice
Solve this question:
3 × 54
1512
512
154
812
16
Let's Review
17
Adding and Subtracting Fractions
Turn mixed numbers into improper fractions
Find the least common denominator
Change both fractions so they have a common denominator
Add or subtract the fractions
Change back into a mixed number if necessary
18
19
20
Multiplying Fractions
1) Change mixed numbers and whole numbers into improper fractions
2) Cross cancel and multiply across
OR
2) Multiply across and simplify
3) Change back into a mixed number if necessary
21
Dividing Fractions
Keep, Change, Flip
Keep the first fraction
Change to Multiplication
Flip the last fraction to the reciprocal
22
Reciprocal? Huh?
A reciprocal, or multiplicative inverse, is simply one of a pair of numbers that, when multiplied together, equal 1. If you can reduce the number to a fraction, finding the reciprocal is simply a matter of transposing the numerator and the denominator. FLIP!! To find the reciprocal of a whole number, just turn it into a fraction in which the original number is the denominator and the numerator is 1.
23
EXAMPLE
For example, the reciprocal of 32 is 23 , because 32×23=1 .
The reciprocal of 7 is 71 because 7×71=1 .
24
Multiple Choice
What is the reciprocal of 87 ?
1
78
1614
87
25
Multiple Choice
Find the reciprocal of 117 .
1 71
1111
711
77
26
Multiple Choice
What is the reciprocal of 54 ?
54
45
15
51
27
Math Antics - Dividing Fractions
https://youtu.be/4lkq3DgvmJo
28
Fill in the Blanks
Type answer...
29
Poll
What kind of math do you really do when you are dividing fractions?
multiplying
adding
subtracting
dividing
30
Dividing Fractions
1) Change mixed numbers and whole numbers into improper fractions
2) Keep, change, flip
3) Cross cancel and multiply across
OR
3) Multiply across and simplify
4) Change back into a mixed number if necessary
31
ALWAYS SIMPLIFY YOUR ANSWER...either before you multiply by breaking down to prime factors and canceling them or at the end by dividing the numerator and denominator by a common factor.
32
Multiple Choice
Solve this question:
74 ÷53
2120
11
3512
1.21.1
33
Multiple Choice
Solve:
83÷32
169
41
246
83
34
Multiple Choice
Simplify. Write your answer as a mixed number when necessary.
109÷41
1036
409
3 106
3 53
35
1
Multiplying and Dividing Fractions

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