1. Fractions Review

2. Fractions A number in the form Numerator Denominator Or N D

3. Multiplication Multiply the numerators and put in the numerator of the result Multiply the denominators and put in the denominator of the result 89 8 x 972 47 7 x 428 == x

4. Multiplication - Let’s Try It! 92 17 = x 53 17 = x 711 94 = x 414 730 = x 18 7 15 7 77 36 56 210

5. Simplification - Let’s Try It! 3 1 7 2 3 1 63 18 = 5 2 114 78 = 7 2 19 13 9 3 = 84 24 = 21 7 = 15 6 =

6. Division Just like multiplication with one more step Invert the second fraction and multiply 82 13 = ÷ 81 23 x = 8 6

7. Division - Let’s Try It! 92 17 =÷ = 53 17 ÷ 711 94 =÷ = 410 720 ÷ 9 14 5 21 63 44 7 50

8. Addition To add two fractions, you must make sure they have a Common Denominator 8 3 16 5 + What is a Common Denominator?

9. Addition - Let’s Try It! 42 11 =+ = 83 26 + 16 8 24 =+ = 4 3 13 + 4 3 12 17 2 1 16 25

10. Subtraction To subtract two fractions, they also must have a Common Denominator What can you multiply each fraction by to give the smallest common denominator? 8 3 16 5 - The smallest number that has both of these as factors is 16 8 goes into 16 two times 16 goes into 16 one time 16 6 = 8 3 2 2 x 5 = 5 1 1 x 6 5 - = 1 Once you have a common denominator, subtract the numerators.

11. Subtraction - Let’s Try It! = 82 17 - 82 16 = - = 168 39 - 4 75 = - 8 3 4 1 3 13

12. 12 To express a mixed number as an improper fraction, first multiply the whole number by the denominator and add the numerator. Then write this sum over the denominator.

13. 13 = 2 x 2 + 1 2 = 2 2

14. 14 To express an improper fraction as a mixed number, divide the denominator into the numerator.

15. 15 = 2 -6 2 2 3 3 2 3