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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.
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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?