Definitions
The rule (three words) used when dividing fractions?
KEEP CHANGE FLIP!
If you are dividing a whole number by a fraction you must first do what to the whole number?
example: 25 = what fraction?
Put a 1 underneath it to make it a fraction.
25/1
Solve and change to a mixed number
1/2 ÷ 1/3
3/2 = 1 1/2
1 1/2 ÷ 2 3/4
3/2 x 4/11 = 12/22 = 6/11
8 ÷ 1/8
64
What do we call a fraction when numerator is smaller than the denominator?
Proper Fraction
When dividing fractions, what do you do to the first fraction in the problem?
KEEP it the same.
Solve and change to a mixed number
3/4 ÷ 2/5
15/8 = 1 7/8
2 2/5 ÷ 1 3/7
12/5 x 7/10 = 84/50 = 42/25 = 1 17/25
10 ÷ 2/10
50
What do we call a fraction when the numerator is bigger than the denominator?
Improper Fraction
When dividing fractions, what do you do to the division sign?
Change it to multiplication.
Solve and change to a mixed number
4/7 ÷ 3/6
24/21 = 1 1/7
5 1/2 ÷ 3 2/3
11/2 x 3/11 = 33/22 = 3/2 = 1 1/2
11 ÷ 11/9
9
What do we call a whole number plus a proper fraction?
Mixed Number
When dividing fractions, what must you do to the second fraction in the problem?
Find its reciprocal or flip it
Solve and change to a mixed number
5/9 ÷ 1/2
10/9 = 1 1/9
2 5/8 ÷ 1 1/3
21/8 x 3/4 = 63/32 = 1 31/32
6 ÷ 6/10
10