Fractions<br /><ul><li>Adding with Common Denominators
Adding with Different Denominators
Multiplying
Dividing</li></li></ul><li>Add straight across the top (numerators)<br />𝑦6+2𝑦6=<br />Β <br />If the base(denominator) is t...
Can it be simplified?<br />3𝑦6=<br />Β <br />
3Γ·3𝑦6Γ·3=<br />Β <br />3<br />
𝑦6+2𝑦6<br />= 𝑦+2𝑦6<br />=3𝑦6<br />=𝑦2<br />Β <br />Add the numerators<br />Simplify<br />
𝑦6+2𝑦5=<br />Β <br />Make the bases the same<br />(choose a common denominator)<br />Add/Subtract Different Denominators<br />
Multiply top & bottom by the SAME number.<br />(changes the look not the fraction)<br />𝑦×56Γ—5+2𝑦×65Γ—6=<br />Β <br />30<br />
Add straight across the top (numerators).<br />5𝑦30+12𝑦30=<br />Β <br />Now the base (denominator) is the same…<br />
Can it be simplified?<br />17𝑦30=<br />Β <br />
𝑦6+2𝑦5<br />= 𝑦×56Γ—5+2𝑦×65Γ—6<br />=Β 5𝑦30+12y30<br />=17𝑦30<br />Β <br />Make denominators the same<br />Multiply top and bo...
Multiply straight across the top (numerators)<br />𝑦2Γ—43π‘₯=<br />Β <br />Multiply straight across the bottom <br />(denomina...
Can it be simplified?<br />4𝑦6π‘₯=<br />Β <br />
4Γ·2𝑦6Γ·2π‘₯=<br />Β <br />2<br />
Multiply numerators, <br />multiply denominators<br />𝑦2Γ—43π‘₯<br />= 𝑦×42Γ—3π‘₯<br />=Β 4𝑦6π‘₯<br />=2𝑦3π‘₯<br />Β <br />Simplify<br />
𝑦2Γ·43π‘₯=<br />Β <br />Flip the secondfractionupside down<br />(invert)<br />Divide<br />
Multiply straight across the top (numerators)<br />𝑦2Γ—3π‘₯4=<br />Β <br />Multiply straight across the bottom <br />(denomina...
Can it be simplified?<br />3π‘₯𝑦8=<br />Β <br />
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Algebraic fractions

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

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Algebraic fractions

  1. 1. Fractions<br /><ul><li>Adding with Common Denominators
  2. 2. Adding with Different Denominators
  3. 3. Multiplying
  4. 4. Dividing</li></li></ul><li>Add straight across the top (numerators)<br />𝑦6+2𝑦6=<br />Β <br />If the base(denominator) is the same…<br />Add/Subtract Common Denominators<br />
  5. 5. Can it be simplified?<br />3𝑦6=<br />Β <br />
  6. 6. 3Γ·3𝑦6Γ·3=<br />Β <br />3<br />
  7. 7. 𝑦6+2𝑦6<br />= 𝑦+2𝑦6<br />=3𝑦6<br />=𝑦2<br />Β <br />Add the numerators<br />Simplify<br />
  8. 8.
  9. 9. 𝑦6+2𝑦5=<br />Β <br />Make the bases the same<br />(choose a common denominator)<br />Add/Subtract Different Denominators<br />
  10. 10. Multiply top & bottom by the SAME number.<br />(changes the look not the fraction)<br />𝑦×56Γ—5+2𝑦×65Γ—6=<br />Β <br />30<br />
  11. 11. Add straight across the top (numerators).<br />5𝑦30+12𝑦30=<br />Β <br />Now the base (denominator) is the same…<br />
  12. 12. Can it be simplified?<br />17𝑦30=<br />Β <br />
  13. 13. 𝑦6+2𝑦5<br />= 𝑦×56Γ—5+2𝑦×65Γ—6<br />=Β 5𝑦30+12y30<br />=17𝑦30<br />Β <br />Make denominators the same<br />Multiply top and bottom by same number<br />Add the numerators<br />Simplify if you can!<br />
  14. 14.
  15. 15. Multiply straight across the top (numerators)<br />𝑦2Γ—43π‘₯=<br />Β <br />Multiply straight across the bottom <br />(denominators)<br />Multiply<br />
  16. 16. Can it be simplified?<br />4𝑦6π‘₯=<br />Β <br />
  17. 17. 4Γ·2𝑦6Γ·2π‘₯=<br />Β <br />2<br />
  18. 18. Multiply numerators, <br />multiply denominators<br />𝑦2Γ—43π‘₯<br />= 𝑦×42Γ—3π‘₯<br />=Β 4𝑦6π‘₯<br />=2𝑦3π‘₯<br />Β <br />Simplify<br />
  19. 19.
  20. 20. 𝑦2Γ·43π‘₯=<br />Β <br />Flip the secondfractionupside down<br />(invert)<br />Divide<br />
  21. 21. Multiply straight across the top (numerators)<br />𝑦2Γ—3π‘₯4=<br />Β <br />Multiply straight across the bottom <br />(denominators)<br />
  22. 22. Can it be simplified?<br />3π‘₯𝑦8=<br />Β <br />
  23. 23. Flip the second fraction<br />𝑦2Γ·43π‘₯<br />= 𝑦2Γ—3π‘₯4<br />=𝑦×3π‘₯2Γ—4<br />=Β 3π‘₯𝑦8<br />Β <br />Multiply numerators, <br />multiply denominators<br />Simplify if you can!<br />

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