What is today’s learning objective?

Method: You need to change the mixed number into an improper fraction before you can add them together 1 3 4 + 3 4 = 7 4 + 3 4 = 10 4 = CHECK!! Are the denominators the same? When they are, add the numerators together. 2 2 4 =2 1 2 We can change the answer into a mixed number when the numerator is bigger than the denominator.

ADDING 𝟏 𝟏 𝟒 +𝟏 𝟐 𝟑 Change to improper fractions 𝟏𝟓 𝟐𝟎 𝟑𝟓 𝟓 𝟒 x 3 𝟓 𝟑 x 4 + + x 4 x 3 𝟏𝟐 𝟏𝟐 𝟑𝟓 𝟐 𝟏𝟏 𝟏𝟐 𝟑𝟓 𝟏𝟐 𝟐 𝒓 𝟏𝟏 𝟏𝟐

SUBTRACTING 𝟑 𝟓 𝟕 −𝟏 𝟏 𝟐 Change to improper fractions 𝟓𝟐 𝟐𝟏 𝟑𝟏 𝟐𝟔 𝟕 x 2 𝟑 𝟐 x 7 − − x 7 x 2 𝟏𝟒 𝟏𝟒 𝟑𝟏 𝟐 𝟑 𝟏𝟒 𝟑𝟏 𝟏𝟒 𝟐 𝒓 𝟑 𝟏𝟒

ADDING 𝟐 𝟏 𝟒 +𝟑 𝟏 𝟑 Change to improper fractions 𝟐𝟕 𝟒𝟎 𝟔𝟕 𝟗 𝟒 x 3 𝟏𝟎 𝟑 x 4 + + x 4 x 3 𝟏𝟐 𝟏𝟐 𝟔𝟕 𝟓 𝟕 𝟏𝟐 𝟔𝟕 𝟏𝟐 𝟓 𝒓 𝟕 𝟏𝟐

SUBTRACTING 𝟑 𝟐 𝟑 −𝟏 𝟑 𝟓 Change to improper fractions 𝟓𝟓 𝟐𝟒 𝟑𝟏 𝟏𝟏 𝟑 x 5 𝟖 𝟓 x 3 − − x 3 x 5 𝟏𝟓 𝟏𝟓 𝟑𝟏 𝟐 𝟏 𝟏𝟓 𝟑𝟏 𝟏𝟓 𝟐 𝒓 𝟏 𝟏𝟓

To Add/Subtract Mixed Numbers Change the mixed numbers to improper fractions Add/Subtract fractions as usual Change the answer back to a mixed number

Why to avoid the method of Adding/Subtracting Whole Numbers first You will get stuck in some subtraction problems In the future to MULTIPLY or DIVIDE, you will get mixed up. You can never MULTIPLY or DIVIDE the whole numbers! If you feel more than capable to identify when to use the method and when not to, then GO AHEAD but don’t fall into the above traps please!!

Classwork: To be able to add/subtract MIXED NUMBERS Do it well, a peer will be correcting your answers! ANSWERS: 25) 2 1 12 26) 2 7 15 27) 1 5 8 28) 1 5 12

DID I GET IT ? 𝟑 𝟏 𝟑 −𝟐 𝟏 𝟒 . I don’t understand I nearly understand I fully understand

Check Your Homework Pg 109 Exercise 7g No. 1 and 2 Pg 110 Exercise 7h No. 1 and 2

Exercise 7g 1) 𝟐 𝟏 𝟒 +𝟑 𝟏 𝟐 Change to improper fractions 𝟗 𝟏𝟒 𝟗 𝟒 𝟕 𝟐 x 2 + + x 2 𝟒 𝟐𝟑 𝟓 𝟑 𝟒 𝟐𝟑 𝟒 𝟓 𝒓 𝟑 𝟒

Exercise 7g 2) 𝟏 𝟏 𝟐 +𝟐 𝟏 𝟑 Change to improper fractions 𝟗 𝟏𝟒 𝟑 𝟐 x 3 𝟕 𝟑 x 2 + + x 3 x 2 𝟔 𝟐𝟑 𝟑 𝟓 𝟔 𝟐𝟑 𝟔 𝟑 𝒓 𝟓 𝟔

Exercise 7h 1) 𝟐 𝟑 𝟒 −𝟏 𝟏 𝟖 Change to improper fractions 𝟐𝟐 𝟗 𝟏𝟏 𝟒 x 2 𝟗 𝟖 − − x 2 𝟖 𝟏𝟑 𝟏 𝟓 𝟖 𝟏𝟑 𝟖 𝟏 𝒓 𝟓 𝟖

Exercise 7h 2) 𝟑 𝟐 𝟑 −𝟏 𝟒 𝟓 Change to improper fractions 𝟓𝟓 𝟐𝟕 𝟏𝟏 𝟑 x 5 𝟗 𝟓 − x 3 − x 5 x 3 𝟏𝟓 𝟐𝟖 𝟏 𝟏𝟑 𝟏𝟓 𝟐𝟖 𝟏𝟓 𝟏 𝒓 𝟏𝟑 𝟏𝟓