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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

Fractions

A review of misconceptions from Week 2


Proper fractions
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
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.


Mixed fraction
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.


Improper to mixed
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.


Mixed to improper
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


Equivalent fractions
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.


Reminder
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


Steps for different denominators
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.


Different denominators example
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