Examples and explanation of adding fractions with a common denominator, different denominators, multiplying fractions and dividing fractions.

2. Adding with Different Denominators

3. Multiplying

5. Can it be simplified? 3𝑦6=

6. 3÷3𝑦6÷3= 3

7. 𝑦6+2𝑦6 = 𝑦+2𝑦6 =3𝑦6 =𝑦2 Add the numerators Simplify

9. 𝑦6+2𝑦5= Make the bases the same (choose a common denominator) Add/Subtract Different Denominators

10. Multiply top & bottom by the SAME number. (changes the look not the fraction) 𝑦×56×5+2𝑦×65×6= 30

11. Add straight across the top (numerators). 5𝑦30+12𝑦30= Now the base (denominator) is the same…

12. Can it be simplified? 17𝑦30=

13. 𝑦6+2𝑦5 = 𝑦×56×5+2𝑦×65×6 = 5𝑦30+12y30 =17𝑦30 Make denominators the same Multiply top and bottom by same number Add the numerators Simplify if you can!

15. Multiply straight across the top (numerators) 𝑦2×43𝑥= Multiply straight across the bottom (denominators) Multiply

16. Can it be simplified? 4𝑦6𝑥=

17. 4÷2𝑦6÷2𝑥= 2

18. Multiply numerators, multiply denominators 𝑦2×43𝑥 = 𝑦×42×3𝑥 = 4𝑦6𝑥 =2𝑦3𝑥 Simplify

20. 𝑦2÷43𝑥= Flip the secondfractionupside down (invert) Divide

21. Multiply straight across the top (numerators) 𝑦2×3𝑥4= Multiply straight across the bottom (denominators)

22. Can it be simplified? 3𝑥𝑦8=

23. Flip the second fraction 𝑦2÷43𝑥 = 𝑦2×3𝑥4 =𝑦×3𝑥2×4 = 3𝑥𝑦8 Multiply numerators, multiply denominators Simplify if you can!