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## Fractions

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**Fractions**Multiplication & Division**1**10 1 4 1 6 1 5 1 2 1 3 1 2 1 2 1 2 = = = x x x Multiplication Using a Calculator What is happening?**1x1**2x5 = 1 10 1 5 1 2 Multiply Numerators = x Multiply Denominators It works like this**14**45 8 35 3 10 2 5 1 2 2 5 4 7 7 9 3 5 = = = x x x Multiplication Is the same thing happening here?**15**120 12 45 6 24 4 15 1 8 1 4 3 10 2 3 3 5 4 9 3 8 5 12 = = = = = = x x x Now try these Because the CALCULATOR simplifies fractions automatically**4x1**3x5 = 4 15 3 5 4 9 = x 1 3 Calculator is Cancelling down Find any number that is a factor of one numerator AND one denominator 3!**1x1**4x1 = 1 4 2 3 3 8 = x 1 1 4 1 And again…. Find any number that is a factor of one numerator AND one denominator Find another factor of both 3! 2! Cancelling is quicker**3**7 2 5 4 5 1 4 1 2 1 3 1 7 1 5 1 5 = = = ÷ ÷ ÷ Division What is happening?**1x2**5x1 1 7 1x3 7x1 3 7 1x4 5x1 4 5 2 1 1 5 2 5 1 5 4 1 3 1 1 4 1 3 1 2 1 5 1 7 1 5 = = = x = = = x = = x = ÷ ÷ ÷ How it works?**20**27 4 5 15 28 3 5 1 2 4 5 3 7 4 9 2 5 = = = ÷ ÷ ÷ Division Is the same thing happening here?**3**5 3 4 2 3 2 3 2 3 4 5 3 5 4 9 2 5 = = = ÷ ÷ ÷ Now try these Cancelling again!**3**4 2 3 3x1 1x4 2x1 3x1 1x3 5x1 3 5 2 3 4 5 1 1 3 2 2 3 5 4 1 4 3 2 3 1 2 5 2 5 4 9 1 5 3 5 4 9 3 1 2 3 3 5 = = = = = = = = = = = = ÷ ÷ x x x x ÷ x x 2 1 1 1 1 1 1 3 Division & cancelling**SHIFT**ab/c Mixed numbers Try the questions without calculators first Remember how to enter a mixed number?