Addition Subtraction Fractions Ordering Fractions Equivalent Fractions

1. Understanding
Fractions
Add & Subtract
Andrea Bonde & Ms.
Taylor
www.slideshare.net

2. Fraction
 A fraction is the quotient
of two rational numbers.
Numerator
Denominator

3. Classification of
Fractions
 Proper Fraction

𝟐
𝟓
,
𝟏
𝟒
 Improper Fraction

𝟏𝟐
𝟔
,
𝟏𝟓
𝟓
 Mixed Number
 5
𝟏
𝟐
, 𝟏
𝟑
𝟒

4. Classification of
Fractions
 A proper fraction is a fraction with
the numerator less (smaller) than
the denominator.
 An improper fraction is a fraction
with the numerator great (larger)
than or equal (the same) to the
denominator.
 A mixed number has a fraction and
a whole number.
3
4
1
2
7
5
10
9
1
4

5. Classification
of Fractions

6. Tell me PROPER, IMPROPER, or MIXED

7. Equivalent Fractions
 A equivalent fraction is a
fraction that equals the same
thing.
 These are equivalent fractions.
6 1
18 3

8. Tell me some equivalent fractions for:

9. Tell me if the fraction is equivalent to 1/2 , 1/3, ¼,
or 1/5:

10. Order Fractions
 To order fractions with like
denominators:
 First look at the numerator s.
 Place the fractions with the
lowest numerator first.
 Place the second lowest
numerator next.
 Keep doing this until there are
no more fractions.

11. Ordering Fractions:
Example
 Order the following fractions:
2 1 3
4 4 4
 The answer:
1 2 3
4 4 4

12. Let’s practice ordering fractions!
Order from GREATEST to LEAST

13. Order Fractions
 To order fractions with like unlike
denominators:
 Find a common denominator.
 Then follow the steps as before.
 Look at the numerator s.
 Place the fractions with the
lowest numerator first.
 Place the second lowest
numerator next.
 Keep doing this until there are
no more fractions.

14. Let’s practice ordering fractions with unlike
denominators!
Order from LEAST to GREATEST

15. Adding Fractions
With same
Denominator:
To add fractions together the
denominator must be the same.
Example:
𝟏
𝟖
+
𝟐
𝟖 =
𝟏+𝟐
𝟖
=
𝟑
𝟖

16. Adding Fraction
Examples:
A.
𝟏
𝟑
+
𝟐
𝟑
=
𝟏+𝟐
𝟑
=
𝟑
𝟑
B.
𝟐
𝟒
+
𝟏
𝟒
=
𝟐+𝟏
𝟒
=
𝟑
𝟒
C.
𝟐
𝟕
+
𝟒
𝟕
=
𝟐+𝟒
𝟕
=
𝟔
𝟕
D.
𝟕
𝟏𝟐
+
𝟑
𝟏𝟐
=
𝟕+𝟐
𝟏𝟐
=
𝟗
𝟏𝟐

17. Subtracting Fractions
With Same
Denominator:
To subtract fractions together the
denominator must be the same.
Example:
𝟑
𝟖
−
𝟐
𝟖 =
𝟑−𝟐
𝟖
=
𝟏
𝟖

18. Adding Fraction
Examples:
A.
𝟐
𝟑
−
𝟏
𝟑
=
𝟐−𝟏
𝟑
=
𝟏
𝟑
B.
𝟐
𝟒
−
𝟏
𝟒
=
𝟐−𝟏
𝟒
=
𝟏
𝟒
C.
𝟒
𝟕
−
𝟐
𝟕
=
𝟒−𝟐
𝟕
=
𝟐
𝟕
D.
𝟕
𝟏𝟐
−
𝟑
𝟏𝟐
=
𝟕−𝟐
𝟏𝟐
=
𝟓
𝟏𝟐

19. + & - Fractions Rules for
Unlike Denominators
NEW BOTTOM NUMBER
1. Count by the bottom numbers.
2. Circle the match.
New Top Number
3. Count over to the match.
4. Multiply by old top number.
5. Add/Subtract
- Play with the top, leave the
bottom alone.
- Remember to borrow
if you need to.
𝟏
𝟐
+
𝟏
𝟔
6. Divide if top number is bigger.
7. Reduce if you need to.
𝟒
𝟔
𝟐
𝟑
÷ 2
÷ 2
=
4 6
x 3

20. ADD with Unlike
Denominators Practice
𝟏
𝟒
+
𝟏
𝟓
𝟗
𝟐𝟎
8 16
x 5
𝟓
𝟐𝟎2012
10 15 20 +
𝟒
𝟐𝟎
x 4

21. ADD with Unlike
Denominators Practice
𝟏
𝟑
+
𝟏
𝟓
𝟖
𝟏𝟓
6 12
x 5
𝟓
𝟏𝟓159
10 15 +
𝟑
𝟏𝟓
x 3

22. SUBTRACT with Unlike
Denominators Practice
𝟏
𝟒
-
𝟏
𝟓
𝟏
𝟐𝟎
8 16
x 5
𝟓
𝟐𝟎2012
10 15 20 -
𝟒
𝟐𝟎
x 4

23. SUBTRACT with Unlike
Denominators Practice
𝟏
𝟑
-
𝟏
𝟓
𝟐
𝟏𝟓
6 12
x 5
𝟓
𝟏𝟓159
10 15 -
𝟑
𝟏𝟓
x 3