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Number

Number. Year 10. Note 4 : Fractions (Revision). To reduce fractions to their simplest form : find the highest common factor in the numerator and denominator and divide by this factor. Examples: 12 = 3 15 = 3 16 4 40 8. IWB Ex 3.02 pg 71-72.

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Number

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  1. Number Year 10

  2. Note 4: Fractions (Revision) To reduce fractions to their simplest form: find the highest common factor in the numerator and denominator and divide by this factor. Examples: 12 = 315 = 3 16 4 40 8 IWB Ex 3.02 pg 71-72

  3. Note 4: Fractions (Revision) Rules for multiplying two fractions: • multiply the two numerators • multiply the two denominators • simplify if possible Examples: x = x = = IWB Ex 3.03 pg 79

  4. Note 4: Fractions (Revision) To get the reciprocal of a fraction, turn it upside down Examples: The reciprocal of is The reciprocal of 5 ( ) is To divide by a fraction we multiply by the reciprocal of the second fraction. = × = IWB Ex 3.05 pg 83 Ex 3.06 pg 87 Examples: ÷

  5. Note 4: Fractions (Revision) • To add/subtract fractions with different denominators • change to equivalent fractions with the same denominator • add/subtract the equivalent fractions • simplify if possible Examples: + = + IWB Ex 3.07 pg 88 Ex 3.08 pg 91 =

  6. Note 5: Mixed Numbers A mixed number is a combination of a whole number and a fraction

  7. Note 5: Mixed Numbers To change a mixed number to an improper fraction, multiply the denominator by the whole number and add the numerator (the denominator stays the same) + x 7 x 3 + 1 = 3 IWB Ex3.10 pg 95 Ex3.12 pg 99

  8. Note 6: Decimals -> Fractions -> % To convert a decimal and fraction to a percentage multiply by 100%. Examples: 0.6 = 0.6 x 100% 0.348 = 0.348 x 100% = 60 % = 34.8 % = x 100% = x 100% = 32.5 % = 20 %

  9. Note 6: Decimals -> Fractions -> % To convert a percentage to a decimal or fraction, divide by 100 ( and simplify if a fraction is required). Examples: 75% 64 % = = = = 0.75 IWB Ex3.01 pg64-65

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