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
1/2 ÷ 1/3
3/2 = 1 1/2
3 1/3 ÷ 2
5/3 or 1 2/3
A (Proper or Improper) Fraction is (Less or More) than one. The numerator is smaller than the denominator.
Example: 2/5
Proper Fraction
When dividing fractions, what do you do to the first fraction in the problem?
KEEP it the same.
3/4 ÷ 2/5
15/8 = 1 7/8
5 ÷ 2 1/2
10/5 or 2
A fraction that is greater than one. The numerator is bigger than the denominator.
Example: 13/2
Improper Fraction
When dividing fractions, what do you do to the division sign?
Change it to multiplication.
4/7 ÷ 2/3
12/14 = 6/7
2 1/3 ÷ 6/4
28/18 or 14/9 or 1 5/9
A whole number plus a fraction.
Example: 1 1/4
Mixed Number
When dividing fractions, what must you do to the second fraction in the problem?
Find its reciprocal or flip it
5/9 ÷ 1/2
10/9 = 1 1/9
3 3/4 ÷ 1 2/5
75/28 or 2 19/28
Also know as the 'inverse'
Found by FLIPPING the numerator and denominator of a fraction. Starts with an 'R'
Example: 1/2 X 2/1 = 1
Reciprocal
As a FINAL Answer - Fractions should always be in _______ form.
If possible, convert back to a ____________ number?
Simplest
Mixed
3/4 ÷ 7/8
24/28 = 6/7
1 1/6 ÷ 10 2/3
21/192 or 7/64