1 Topic 8.2.2 Dividing Rational Expressions Dividing Rational Expressions.
Changed division sign to multiplication sign When Dividing Fractions, always remember to: FLIP...
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Transcript of Changed division sign to multiplication sign When Dividing Fractions, always remember to: FLIP...
Dividing Fractions *A Common Denominator is NOT needed.
2 43 5
Step 3: MULTIPLY
Multiply numerator by numerator and denominator by denominator
2 5 103 4 12
Step 4: Check to see if fraction can be simplified.
10 2 512 2 6 Final Answer: 5
6
Step 1: FLIP
Flip means to flip the 2nd fraction in the problem.
2
3
5
4
4
5 was flipped to
5
4
Step 2: SWITCH
Switch means we change the division sign to a multiplication sign.
2
3
5
4Changed division sign to multiplication sign
When Dividing Fractions, always remember to:
FLIP
SWITCH
MULTIPLY
Since both 10 and 12 are divisible by 2,we will reduce the fraction by dividing both 10 and 12 by 2.10 divided by 2 is 5.12 divided by 2 is 6
Dividing a Fraction and Mixed Number
4 1
15 2
4 2 85 3 15
Cannot be simplified. Final Answer: 815
1
1
22 1 21 3
4
5
2
3
*A Common Denominator is NOT needed.
When Dividing Fractions, always remember to:
FLIP
SWITCH
MULTIPLY
Step 2: FLIP
Flip means to flip the 2nd fraction in the problem.
Step 1: Change mixed number to an improper fraction.
1
1
2 as an improper fraction is
3
2
3
2 was flipped to
2
3
Step 3: SWITCH
Switch means we change the division sign to a multiplication sign.
Changed division sign to multiplication sign
4
5
2
3
Step 4: MULTIPLY
Multiply numerator by numerator and denominator by denominator
Step 5: Check to see if fraction can be simplified.
815
Since there is not a number other than 1 that divides into both 8 and 15 evenly, the fraction cannot be simplified.
4
5
3
2
Dividing a Mixed Number and Fraction
2
1
4
2
5
9
4
5
2
45
8
Final Answer:
5
5
8
2
1
44 2 81 9
9
4
5
2
*A Common Denominator is NOT needed.
When Dividing Fractions, always remember to:
FLIP
SWITCH
MULTIPLY
Step 2: FLIP
Flip means to flip the 2nd fraction in the problem.
Step 1: Change mixed number to an improper fraction.
2
1
4 as an improper fraction is
9
4
2
5 was flipped to
5
2
Step 3: SWITCH
Switch means we change the division sign to a multiplication sign.
Changed division sign to multiplication sign
9
4
5
2
Step 4: MULTIPLY
Multiply numerator by numerator and denominator by denominator
Step 5: Check to see if fraction can be simplified.
45
8
Since there is not a number other than 1 that divides into both 45 and 8 evenly, we will convert the improper fraction to a mixed number.
9
4
2
5
8 455R5
45
8 as a mixed number is 5
5
8
Dividing a Mixed Number and Fraction
2
2
52
1
2
12
5
2
5
24
25
Final Answer:
24
25
2
2
55 2 10 2 12
12
5
2
5
*A Common Denominator is NOT needed.
When Dividing Fractions, always remember to:
FLIP
SWITCH
MULTIPLY
Step 2: FLIP
Flip means to flip the 2nd fraction in the problem.
Step 1: Change mixed number to an improper fraction.
2
2
5 as an improper fraction is
12
5
5
2 was flipped to
2
5
Step 3: SWITCH
Switch means we change the division sign to a multiplication sign.
Changed division sign to multiplication sign
12
5
2
5
Step 4: MULTIPLY
Multiply numerator by numerator and denominator by denominator
Step 5: Check to see if fraction can be simplified.
24
25
Since there is not a number other than 1 that divides into both 24 and 25 evenly, the fraction cannot be simplified.
12
5
5
2
2
1
22 2 4 2 5
2
1
2 as an improper fraction is
5
2
Cannot be simplified.
Dividing a Mixed Number and Fraction
3
3
46
15
4
1
6
15
24
Final Answer:
15
24
3
3
44 3 12 3 15
15
4
1
6
*A Common Denominator is NOT needed.
When Dividing Fractions, always remember to:
FLIP
SWITCH
MULTIPLY
Step 3: FLIP
Flip means to flip the 2nd fraction in the problem.
Step 1: Change mixed number to an improper fraction.
3
3
4 as an improper fraction is
15
4
6
1 was flipped to
1
6
Step 3: SWITCH
Switch means we change the division sign to a multiplication sign.
Changed division sign to multiplication sign
15
4
1
6
Step 4: MULTIPLY
Multiply numerator by numerator and denominator by denominator
Step 5: Check to see if fraction can be simplified.
15
24
Since there is not a number other than 1 that divides into both 15 and 24 evenly, the fraction cannot be simplified.
15
4
6
1
Cannot be simplified.
Step 2: Change the whole number to an improper fraction.
The denominator of any whole number is 1 6=
6
1