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Fractions

Fractions . A review of misconceptions from Week 2. Proper Fractions. A proper fraction is a fraction that has a smaller numerator than denominator. Examples: 3 5 12 25 -- or -- or -- or -- 4 12 30 100 Write three of your own examples in your Maths Book. Improper Fractions.

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Fractions

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  1. Fractions A review of misconceptions from Week 2

  2. Proper Fractions • A proper fraction is a fraction that has a smaller numerator than denominator. Examples: 3 5 12 25 -- or -- or -- or -- 4 12 30 100 Write three of your own examples in your Maths Book.

  3. Improper Fractions • An improper fraction is a fraction that has a larger numerator than denominator. Examples: 9 15 48 25 -- or -- or -- or -- 4 12 30 10 Write three of your own examples in your Maths Book.

  4. Mixed Fraction • A mixed fraction is a fraction that has a whole number in front of the proper fraction. Examples: 3 5 12 1 -- or 3 -- or 2 -- 4 12 30 Write three of your own examples in your Maths Book.

  5. Improper to Mixed Converting an improper fraction to a mixed fraction is easy! Example: 10 2 1 -- = 1 -- = 1 -- 8 8 4 • Take as many groups of 8 (denominator) out of the numerator (10). You can use your times tables or division. • When you have taken out the whole/s (1), minus the parts taken out (8) from the numerator (10) = 2, this becomes your new numerator. • Your denominator remains the same, 8. • Simplify the fraction if possible, the whole number stays the same.

  6. Mixed to Improper Changing a mixed to an improper is an easy process! 2 1 -- 4 The whole number at the front represent a whole fraction 4 4 2 6 --, so it is like saying -- + -- = -- 4 4 4 4

  7. Equivalent Fractions • Equivalent fractions are fractions that are the same/equal amount just written using different numerators and denominators. ** Remember what ever you do to the bottom you do to the top. 2 -- 5 Equivalent fractions can be found by multiplying the numerator and denominator by the same number. 2 x 3 6 2 x 5 10 -- = -- or -- = -- 5 x 3 15 5 x 5 25 These are both equivalent fractions of two fifths.

  8. Reminder!! Addition and Subtraction with LIKE/SAME denominators. **If the fraction has the same denominators already you only need to add or subtract (depending on the question) the numerators, leave the denominator and just bring it across. Example: 1 2 (1 +2) 3 -- + -- = -- 4 4 (same) 4

  9. Steps for DIFFERENT denominators • Times the denominators together to get you new denominator. • Write your new denominator as a sum. • Time the numerator by the opposite denominator to get your new numerator. ** Rule: What ever you do to the bottom you do to the top. 4. Add/Subtract the numerators to get your answer, leave the denominator the same.

  10. Different denominators Example 3 2 -- + -- 4 6 • 4 x 6= 24, this is the new denominator. • Write the new sum using 24 as the denominator. -- + -- 24 24 3. Times the numerators by the opposite denominators, 3 x 6= 18 and 2 x 4 = 8. 18 8 -- + -- 24 24 4. Add the numerators, 18 + 8 = 26 and keep the numerator as 24. 26 -- 24 Now change the improper fraction to a mixed fraction, take out a whole (24), how many are left over? 26- 24 = 2. 2 1 1 -- = 1 -- 24 12

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