1. Warm up
Puzzle 1: There are two lengths of rope. Each one can burn in exactly one hour. They are not necessarily of the same length or width as each other. They are not of uniform width (may be wider in the middle than on one end) thus burning half the rope is not necessarily ½ an hour. By burning the ropes how do you measure exactly 45 minutes of time?
Puzzle 2: Count the Fs in the following sentence once. Do not go back and count again.
Finished files are the result of year of scientific study combing with the experience of years.

2. FRACTIONS
LESSON 4

3. TERMINOLOGY NUMERATOR – Top digit of a fraction
DENOMINATOR – Bottom digit of a fraction
EQUIVALENT FRACTIONS - are fractions that have the same value ex: ½ and 2/4
MIXED FRACTION - is a whole number plus a fraction ex: 3 1/2
IMPROPER FRACTIONS - have the numerator part greater or equal to the denominator part ex: 5/2

4. EQUIVALENT FRACTIONS
We can determine if fractions are equivalent by:
1) using multiplication table
2) multiplying the numerator and denominator by the same number
EXAMPLE: 1 2 2 4 x2 = x2

5. TRY THESE 5 8 ? 24 = 1) 2) 6 7 ? 56 =

6. MIXED FRACTIONS 2 3 5 EXAMPLE:
TO CALCULATE THE NUMERATOR when converting  mixed to improper fractions:  
1) Multiply the whole number of the mixed fraction by the denominator
2) Add on the numerator of the fraction part

7. CHANGING MIXED TO IMPROPER
STEP 1
Multiply 3 x 5 = 15
STEP 2
Add the result from step 1 to the numerator
= 17
STEP 3
Place result from step 2 in the numerator
STEP 4
Keep the same denominator
EXAMPLE: 2 3 5 17 ? 17 3

8. IMPROPER FRACTIONS 39 15 EXAMPLE:
TO CHANGE THE IMPROPER fraction to a mixed fraction DIVIDE the numerator by the denominator  
The quotient (i.e. the result of division) is the whole number part of the mixed fraction
The remainder is the numerator of the fraction part of the mixed fraction

9. CHANGING IMPROPER TO MIXED
STEP 1
Divide 39 ÷ 15 = 2 and remainder of 9
STEP 2
Remainder is the numerator
STEP 3
Keep the same denominator
STEP 4
Reduce to lowest terms
EXAMPLE: 9 ? 2 39 15 9 15 2 9 15 3 5 2 = 2

10. < > COMPARING FRACTIONS 1 3 4 4 3 3 4 8
Same denominator  Fraction with largest numerator is largest
Same numerator  Fraction with smallest denominator is the largest 1 4
< 3 4 3 4
> 3 8

11. > COMPARING FRACTIONS 3 5 1 2 ? 10 ? 10 6 10 5 10 Steps:
Find a common denominator
Convert each fraction
Compare ? 10 ? 10 6 10 5 10
>