More Related Content
Similar to Visual Models for Fraction Operations
Similar to Visual Models for Fraction Operations (20)
Visual Models for Fraction Operations
- 4. Approximating Method when Adding Fractions _3_ 4 _1_ 2 _1_ 3 When the two shaded amounts are combined, the total is approximately . _3_ 4
- 5. Finding the sum of two fractions is easy when they have the same denominator. 4_ 6 3_ 6 4_ 6 3_ 6 7_ 6 1_ 6 = 1 + OR
- 8. First, find the smallest common denominator of ¼ and ⅓. 1 × 3 = _3_ 3 12 1 × 4 = _4_ 3 4 12 1 = _3_ 4 12 1 = _4_ 3 12 So…
- 9. 1 + 1 4 3 = _3_ + _4_ 12 12 = _7_ 12 1 + 1 = _7_ 4 3 12
- 15. … The smallest common denominator of ⅚ and ¼ is 12. • 5 × 2 = 101 × 3 = 3 6 2 12 4 3 12 • 10 - 3 = 7 12 12 12 10 12 3 12 7 12
- 17. Whole Number Times a Fraction: For any whole number k and fraction a/b, k × a = ka b b
- 18. Multiplication of a fraction and a whole number can be illustrated in a couple of different ways.
- 23. Fraction Times a Fraction 1_ 5 × 1_ 3 1_ 15 1 × 1 = 1_ OR 1 of 1 = 1_ 3 5 15 3 5 15 1_ 15
- 24. Fraction Times a Fraction 4_ 5 × 2_ 3 8_ 15 2 × 4 = 8_ OR 2 of 4 = 8_ 3 5 15 3 5 15 8_ 15
- 27. 5 ÷ 1_ 6 12 _1_ 12 _5_ 6 goes into 10 times. = 10 …
- 28. 5 ÷ 1__1_ 6 3 2 = 2 Remainder Divisor
- 29. Inverting the Divisor and Multiplying TRIPLE BOTH AMOUNTS ) ) 1 1 1_ 1_ 3_ 3_ 2 3 2 3 2 2 ( ( = = = ÷ × 3 ÷ × 3 ÷ 1 Simplified Version of Equation Above 1 1 1 3 3 1_ 2 3 2 1 2 2 = = 1 × ÷ =