The document discusses different arithmetic operations that can be performed on fractions, including addition, subtraction, multiplication, and division. It provides examples of how to convert fractions to equivalent fractions with a common denominator to allow for addition and subtraction. For multiplication and division, it notes that fractions can be directly multiplied or divided without requiring a common denominator. Steps are demonstrated through examples for how to perform each operation on fractions.

1. FRACTIONS Adding, Subtracting, Multiplying and Dividing 3 and 1 4 2 Let’s take two fractions...

2. FRACTIONS Adding, Subtracting, Multiplying and Dividing 3 + 1 4 2 ...and add them first Fractions must have like denominators to add them

3. FRACTIONS Adding, Subtracting, Multiplying and Dividing 3 + 1 4 2 The denominators must "speak the same language" in order to add them

4. FRACTIONS Adding, Subtracting, Multiplying and Dividing 3 + 1 ? 4 2 -> 4 Since 2 goes into 4, we need to change the denominator in 1/2 from 2 to 4 and then figure what the numerator would be

5. FRACTIONS Adding, Subtracting, Multiplying and Dividing 3 + 1 x2 2 4 2 x2 4 2 x 2 = 4, and we must do the same thing to the top number that we did to the bottom number, and that is to multiply it by 2, so 1/2 is the same as 2/4

6. FRACTIONS Adding, Subtracting, Multiplying and Dividing 3 + 2 = 5 4 4 4 Now that the fractions "speak the same language," you can add them... 3 + 2 = 5

7. FRACTIONS Adding, Subtracting, Multiplying and Dividing 5 = 4 + 1 = 1 4 4 4 1 4 ...and then simplify 5/4 is the same as 4/4 + 1/4 4/4 is equal to 1 with 1/4 left over

8. FRACTIONS Adding, Subtracting, Multiplying and Dividing 3 and 1 4 2 Now let’s take these same fractions...

9. FRACTIONS Adding, Subtracting, Multiplying and Dividing 3 - 1 4 2 ...and subtract them now Fractions must have like denominators to subtract them

10. FRACTIONS Adding, Subtracting, Multiplying and Dividing 3 - 1 4 2 The denominators must "speak the same language" in order to subtract them

11. FRACTIONS Adding, Subtracting, Multiplying and Dividing 3 - 1 ? 4 2 -> 4 Since 2 goes into 4, all we need to do is to change the denominator in 1/2 from 2 to 4 and then figure out what the numerator would be

12. FRACTIONS Adding, Subtracting, Multiplying and Dividing 3 - 1 x2 2 4 2 x2 4 2 x 2 = 4, and we must do the same thing to the top number that we did to the bottom number, and that is to multiply it by 2, so 1/2 is the same as 2/4

13. FRACTIONS Adding, Subtracting, Multiplying and Dividing 3 - 2 = 1 4 4 4 Now that the fractions "speak the same language," you can subtract them 3 - 2 = 1

14. FRACTIONS Adding, Subtracting, Multiplying and Dividing 3 - 2 = 1 4 4 4 1/4 cannot be simplified any further

15. FRACTIONS Adding, Subtracting, Multiplying and Dividing 3 and 1 4 2 Let’s take these same fractions...

16. FRACTIONS Adding, Subtracting, Multiplying and Dividing 3 x 1 4 2 ...and multiply them now Fractions do not need like denominators to multiply them

17. FRACTIONS Adding, Subtracting, Multiplying and Dividing 3 x 1 = 3 4 2 8 Simply multiply the numbers across the top and multiply across the bottom...

18. FRACTIONS Adding, Subtracting, Multiplying and Dividing 3 x 1 = 3 4 2 8 ...and simplify if needed Easy!

19. FRACTIONS Adding, Subtracting, Multiplying and Dividing 3 and 1 4 2 One more time! Take these same fractions...

20. FRACTIONS Adding, Subtracting, Multiplying and Dividing 3 ÷ 1 4 2 ...and let's divide them this time Fractions do not need like denominators to divide them, just like multiplication

21. FRACTIONS Adding, Subtracting, Multiplying and Dividing 3 ÷ 1 4 2 In fact, they are a multiplication problem “ in disguise”

22. FRACTIONS Adding, Subtracting, Multiplying and Dividing 3 ÷ 1 -> 2 4 2 -> 1 You simply “flip” the second fraction, otherwise known as its “reciprocal”...

23. FRACTIONS Adding, Subtracting, Multiplying and Dividing 3 x 2 = 6 4 1 4 ...and multiply the numbers across the top and across the bottom...

24. FRACTIONS Adding, Subtracting, Multiplying and Dividing 6 = 4 + 2 = 1 4 4 4 1 2 ...and then simplify 6/4 is the same as 4/4 + 2/4 4/4 is equal to 1 with 2/4, or 1/2, left over Division is easy, too!