Do you remember how to change from a mixed number to an improper fraction? 5 1 2 4 2 7 10 2 5 7 3 10 = 11 2 = 30 7 = 52 5 = 73 10.

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Presentation transcript:

Do you remember how to change from a mixed number to an improper fraction? 5 1 2 4 2 7 10 2 5 7 3 10 = 11 2 = 30 7 = 52 5 = 73 10

CHANGE: A mixed number to Improper Fraction Multiply the whole number by the denominator Add your answer to the numerator Put that number on top of the denominator 1 5 2 = 2 2 The denominator always stays the SAME!

Convert the mixed number to an improper fraction: 1) Multiply 2) Add 3) On top! 1 9 4 2 2

Convert the mixed number to an improper fraction: 2 12 2 5 5

Do you remember how to change from an improper fraction to a mixed number? 7 2 13 3 73 9 15 6 = 3 1 2 = 4 1 3 = 8 1 9 = 2 3 6 = 2 1 2

CHANGE: An Improper Fraction to a Mixed Number 4 1 1 = 3 3 How many wholes? And how many parts are left over?

Convert the improper fraction to a mixed number: 5 1 2 2 2

Convert the improper fraction to a mixed number: 7 1 2 3 3

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 Mixed Numbers 𝟓 𝟒 + 𝟓 𝟑 = 𝟏𝟓 𝟏𝟐 + 𝟐𝟎 𝟏𝟐 = 𝟑𝟓 𝟏𝟐 = 𝟐 𝟏𝟏 𝟏𝟐 𝟓 𝟒 Work out: 1 1 4 + 1 2 3 You can add the whole numbers first then the fractions in this case.. but it’s not always easy to deal with the fractions! My suggestion  always change to an improper fraction first! Then give your answer as a mixed number: 𝟓 𝟒 + 𝟓 𝟑 = 𝟏𝟓 𝟏𝟐 + 𝟐𝟎 𝟏𝟐 = 𝟑𝟓 𝟏𝟐 = 𝟐 𝟏𝟏 𝟏𝟐 𝟓 𝟒 𝟓 𝟑

Subtracting Mixed Numbers Work out: 3 5 7 −1 1 2 You can subtract the whole numbers first then the fractions in this case, but this isn’t always easy! My suggestion  always change to an improper fraction first! Then give your answer as a mixed number: 𝟐𝟔 𝟕 − 𝟑 𝟐 = 𝟓𝟐 𝟏𝟒 − 𝟐𝟏 𝟏𝟒 = 𝟑𝟏 𝟏𝟒 = 𝟐 𝟑 𝟏𝟒 𝟐𝟔 𝟕 𝟑 𝟐

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

Classwork/Homework ANSWERS: 25) 2 1 12 26) 2 7 15 27) 1 5 8 28) 1 5 12 29) 4 7 20 30) 1 19 24 31) 1 7 10

Classwork/Homework Pg 109 Exercise 7g No. 1,7,13,19,28 Pg 110 Exercise 7h No. 26-30