This week
Lessons 36, 37, 38, 39 & 40
STILLWATER CROSSING · THE COURSE NOTES · BRIDGE MATH 5/6
Week 8 · Reducing Fractions
Papers
Test 4 to do at home · Escape Room 2 opens
Method
No calculators, ever · show every step
Note-Taking Tip: Using symbols or abbreviations will make note taking faster. For example, using ÷ instead of writing out the word division will save you time.
Instructional notes
Reducing Fractions to Lowest Terms Reducing a fraction means rewriting it with the smallest number possible in both the numerator (top) and the denominator (bottom) To reduce a fraction: • Divide both the top and the bottom by the same number: the greatest common factor (GCF)
Example
8 Reduce to lowest terms. 12 Factor Pairs Factors Common Reduced Fraction Factors 8 (1 × 8) (2 × 4) 1,2,4,8 1,2,4 8 8÷4 2 = =
12 GCF = 4 (2 × 6) (3 × 4)
Practice
Reduce each fraction to lowest terms. 6 2 10 2 = = 9 3 25 5
12 1 20 5 = = 72 6 32 8
Instructional notes
Proper and Improper Fractions A proper fraction has a numerator that is smaller than the denominator. An improper fraction has a numerator that is equal to or greater than the denominator.
To change an improper fraction to a mixed number: • Divide the numerator by the denominator • Write any remainder as a reduced fraction
Example
17 Change the improper fraction to a mixed number. = 3 2 5 3
Practice
Change each improper fraction.
Instructional notes
Equivalent Fractions Equivalent fractions mean equal fractions. It is a different way to write the same amount. To find an equivalent fraction: • Multiply or divide the numerator and denominator by the same number. To check: cross multiply. If the products are equal, the fractions are equivalent.
Example
Make equivalent fractions and check.
2 2 × 3 6 2 6 12 12 ÷6 2 12 2 = = = = 3 3 × 3 9 3 9 18 18 ÷6 3 18 3
Practice
Find the equivalent fraction and check.
3 9 1 4 = = 4 12 5 22
15 5 14 2 = = 18 6 35 5
Quick Review
Maxie bought 3 new books for a total cost of $15.72 yesterday. She gave the cashier a $20 bill. How much change should she get? How many of each bill and coin should the cashier give her? What is this amount rounded to the nearest dollar?
Change = $4.28 Rounded = $4.00
3 0 0 1 4 0 0
Walker bought one new game each week for the last month. The games cost $20.49, $17.53, $29.99, and $33.51. What was the average price of each game?
$25.38
Homework this week
| Work-text | Lesson 36 | Lesson 37 | Lesson 38 | Lesson 39 | Lesson 40 |
|---|---|---|---|---|---|
| Speed drill | 36 | 37 | 38 | 40 |
Terms on the record
| Term | Meaning |
|---|---|
| smallest | Reducing a fraction means rewriting it with the smallest number |
| proper | A proper fraction has a numerator that is smaller than the |
| smaller | A proper fraction has a numerator that is smaller than the |
| improper | denominator. An improper fraction has a numerator that is equal to |
| equal | denominator. An improper fraction has a numerator that is equal to |
| fractions | Equivalent fractions mean equal fractions. It is a different way to |
STILLWATER CROSSING // BRIDGE MATH // PENUMBRA · steady on