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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

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