Definitions
Keep Change Flip
Dividing Two Fractions
Dividing Mixed Numbers
Miscellaneous
Methods
Methods
100
The rule (three words) used when dividing fractions?
KEEP CHANGE FLIP!
100
If you are dividing a whole number by a fraction you must first do what to the whole number?
Put a 1 underneath it to make it a fraction.
100
1/2 ÷ 1/3
3/2 = 1 1/2
100
1 1/2 ÷ 2 3/4
3/2 x 4/11 = 12/22 = 6/11
100
The following fractions are being divided, this is the smallest common denominator we can use in the common denominator method
5/8 ÷ 3/4
What is 8?
200
A fraction that is less than one. The numerator is smaller than the denominator.
Example: 2/5
Proper Fraction
200
When dividing fractions, what do you do to the first fraction in the problem?
KEEP it the same.
200
3/4 ÷ 2/5
15/8 = 1 7/8
200
2 2/5 ÷ 1 3/7
12/5 x 7/10 = 84/50 = 42/25 = 1 17/25
200
This is the improper fraction of the mixed number:
4 9/10
What is
49/10
300
A fraction that is greater than one. The numerator is bigger than the denominator.
Example: 13/2
Improper Fraction
300
When dividing fractions, what do you do to the division sign?
Change it to multiplication.
300
4/7 ÷ 2/3
12/14 = 6/7
300
5 1/2 ÷ 3 2/3
11/2 x 3/11 = 33/22 = 3/2 = 1 1/2
300
This image represents two fractions being divided, using the model method, this number of circles should be drawn.
What is 2?
400
A whole number plus a fraction.
Example: 1 1/4
Mixed Number
400
When dividing fractions, what must you do to the second fraction in the problem?
Find its reciprocal or flip it
400
5/9 ÷ 1/2
10/9 = 1 1/9
400
2 5/8 ÷ 1 1/3
21/8 x 3/4 = 63/32 = 1 31/32
400
This image represents two fractions being divided, using the model method, this number of circles should be drawn.
What is 3?
500
Also know as the multiplicative inverse. Found by flipping the numerator and denominator of a fraction. When a number is multiplied by this, it will equal 1.
Example: 1/2 X 2/1 = 1
Reciprocal
500
Fractions should always be in this form: ______.
If possible, convert back to a ____________ number?
Simplest
Mixed
500
3/4 ÷ 7/8
24/28 = 6/7
500
3 1/3 ÷ 2 2/5
10/3 x 5/12 = 50/36 = 25/18 = 1 7/8
500
A student was asked to divide the following fractions, their work is shown below. Are they correct? Explain. If its wrong what is the correct answer?
3/5 ÷ 11/12
5/3 × 12/11
60/33 = 20/11 = 1 9/11
This answer is incorrect, the student flipped both fractions. The correct answer is:
36/55