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