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Simplifying Fractions Equivalent Fractions 1 2 3 4 2 4 6 8 All these fractions are equivalent to ½ since they take up the same proportion of the shape. They are the result of multiplying ½ by 2/2, 3/3. 4/4, etc. 5 6 10 50 10 12 1/2 20 100 Equivalent Fractions 1 2 3 4 2 4 6 8 2 2 x½ 3 3 x½ 4 4 x½ 5 6 10 50 10 12 20 100 5 5 x½ 6 6 x½ 10 10 x½ 50 50 x½ Equivalent Fractions 1 2 3 4 3 6 9 12 All these fractions are equivalent to 1/3 since they take up the same proportion of the shape. They are the result of multiplying 1/3 by 2/2, 3/3. 4/4, etc. 5 6 10 30 15 18 1/3 30 90 Equivalent Fractions 1 2 3 4 3 6 9 12 2 2 x 1 3 3 3 x 1 3 4 4 x 1 3 5 6 10 30 15 18 30 90 5 5 x 1 3 6 6 x 1 3 10 10 x 1 3 30 30 x 1 3 Equivalent Fractions 1 2 4 4 8 16 All these fractions are equivalent to ¼ since they take up the same proportion of the shape. They are the result of multiplying ¼ by 2/2, 3/3. 4/4, etc. 8 16 32 1/4 64 Equivalent Fractions 1 2 4 4 8 16 2 2 x 1 4 4 4 x 1 4 8 16 32 64 8 8 x 1 4 16 16 x 1 4 Equivalent Fractions 2 4 6 8 5 10 15 20 All these fractions are equivalent to 2/5 since they take up the same proportion of the shape. They are the result of multiplying 2/5 by 2/2, 3/3. 4/4, etc. 10 12 25 2/5 30 Equivalent Fractions 2 4 6 8 5 10 15 20 2 2 x 2 5 3 3 x 2 5 4 4 x 2 5 10 12 25 30 5 5 x 2 5 6 6 x 2 5 Equivalent Fractions 3 6 9 12 8 16 24 32 All these fractions are equivalent to 3/8 since they take up the same proportion of the shape. They are the result of multiplying 3/8 by 2/2, 3/3. 4/4, etc. 15 18 30 40 48 80 3/8 Equivalent Fractions 3 6 9 12 8 16 24 32 2 2 x 3 8 3 3 x 3 8 4 4 x 3 8 15 18 30 40 48 80 5 5 x 3 8 6 6 x 3 8 10 10 x 3 8 Writing Fractions in Simplest Form If a fraction can be simplified then we know that it’s numerator and denominator are both multiples of some number. To get the fraction in its simplest form we divide both the numerator and denominator by their highest common factor (HCF). 6 18 Simplest Form Writing Fractions in their Simplest Form 1 3 6 HCF of 6 and 18 = 6 so 1 Example: Simplify dividing top and bottom 18 by 6 gives: 3 6 18 Writing Fractions in their Simplest Form 1 3 9 3 6 Note that dividing by a factor (in this 3 Example 1: Simplify case 2) that is not the HCF will not give 18 you the fraction in simplest form. 9 6 18 Writing Fractions in their Simplest Form 2 5 HCF of 10 and 25 = 5 so 2 Example 2: Simplify 10 dividing top and bottom 25 by 5 gives: 5 10 25 Writing Fractions in their Simplest Form 3 8 HCF of 18 and 48 = 6 so 3 Example 3: Simplify 18 dividing top and bottom 48 by 6 gives: 8 18 48 Writing Fractions in their Simplest Form 3 6 8 16 18 Again, dividing by a factor (in this case 6 Example 3: Simplify 3) that is not the HCF will not give you 48 the fraction in simplest form. 16 18 48 Writing Fractions in their Simplest Form Express the following fractions in their simplest form. 4 9 15 8 20 (a ) (b ) (c ) (d ) (e ) 6 12 35 12 24 2 3 3 2 5 3 4 7 3 6 5 9 15 24 24 (f ) (g ) (h ) (i ) (j ) 15 15 18 40 30 1 3 5 3 4 3 5 6 5 5 Questions Writing Fractions in their Simplest Form Express the following fractions in their simplest form. 4 9 15 8 20 (a ) (b ) (c ) (d ) (e ) 6 12 35 12 24 5 9 15 24 24 (f ) (g ) (h ) (i ) (j ) 15 15 18 40 30 Worksheet

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simplest form, numerator and denominator, equivalent fractions, how to, lowest terms, reducing fractions, greatest common factor, improper fractions, simplifying fractions, mixed numbers, mixed number, equivalent fraction, fractions in simplest form, whole number, top and bottom

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views: | 4992 |

posted: | 3/7/2010 |

language: | English |

pages: | 19 |

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