Algebraic fractions
- 1. FractionsAdding with Common Denominators
- 2. Adding with Different Denominators
- 3. Multiplying
- 4. DividingAdd straight across the top (numerators)𝑦6+2𝑦6= If the base(denominator) is the same…Add/Subtract Common Denominators
- 5. Can it be simplified?3𝑦6=
- 6. 3÷3𝑦6÷3= 3
- 7. 𝑦6+2𝑦6= 𝑦+2𝑦6=3𝑦6=𝑦2 Add the numeratorsSimplify
- 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 sameMultiply top and bottom by same numberAdd the numeratorsSimplify 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 denominators𝑦2×43𝑥= 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 fraction𝑦2÷43𝑥= 𝑦2×3𝑥4=𝑦×3𝑥2×4= 3𝑥𝑦8 Multiply numerators, multiply denominatorsSimplify if you can!