Algebraic fractions
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This document provides 5 tips to make work easier: 1) Multiply two cells together using the =B2*A2 formula, 2) Add multiple cells together using a formula, 3) Calculate the mean or average of a range using =SUM(range)/COUNT(range), 4) Divide two cells using =B2/A2, 5) Add two cells together using =B2+A2.
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Angles on parallel lines are related in several ways. Vertically opposite angles are equal, as are corresponding angles which hang off an F shape crossing parallel lines. Alternate angles which form a Z shape crossing parallel lines are also equal. Cointerior angles which form a C shape add up to 180 degrees.
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Algebraic 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!