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Algebraic fractions

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Next slide Previous slide Addition Subtraction Multiplication Copyright © Pearson Australia (a division of Pearson Australia Group Pty Ltd) Division Challenge Click for practice questions Instructions for use There are 9 worked examples shown in this PowerPoint plus additional practice questions on the linked worksheet. A red dot will appear top right of screen to proceed to the next slide. Click on either the navigation bars below or to the left of screen to access the relevant slides.

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Next slide Previous slide Addition Subtraction Multiplication Copyright © Pearson Australia (a division of Pearson Australia Group Pty Ltd) Division Challenge Click for practice questions 1. Simplify Step 1: Write down the question. Step 2: If the denominator is not the same find the lowest common multiple (LCM). 20 is the LCM for 4 and 5 Step 3: Adjust the numerators to match the new common denominator. Step 4: Add the numerators. 20 ÷ 4 × x20 ÷ 5 × 2 x Click for a harder addition question.

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Next slide Previous slide Addition Subtraction Multiplication Copyright © Pearson Australia (a division of Pearson Australia Group Pty Ltd) Division Challenge Click for practice questions 2. Simplify Step 1: Write down the question. Step 2: If the denominator is not the same find the lowest common multiple (LCM). 4x is the LCM for 4 and x Step 3: Adjust the numerators to match the new common denominator. Step 4: Add the numerators. 4x ÷ 4 × x4x ÷ x × 2

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Next slide Previous slide Addition Subtraction Multiplication Copyright © Pearson Australia (a division of Pearson Australia Group Pty Ltd) Division Challenge Click for practice questions 3. Simplify Step 1: Write down the question. Step 2: If the denominator is not the same find the lowest common multiple (LCM). 18 is the LCM for 6 and 9 Step 3: Adjust the numerators to match the new common denominator. Step 4: Subtract the numerators. 18 ÷ 6 × 5x18 ÷ 9 × 2x

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Next slide Previous slide Addition Subtraction Multiplication Copyright © Pearson Australia (a division of Pearson Australia Group Pty Ltd) Division Challenge Click for practice questions 4. Simplify Step 1: Write down the question. Step 2: Multiply numerators; multiply denominators Step 3: Look for common factors and simplify x is a common factor 2 is a common factor Step 4: Multiply simplified numerators; multiply simplified denominators 5 3 x 1 Click for a different method and question

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Next slide Previous slide Addition Subtraction Multiplication Copyright © Pearson Australia (a division of Pearson Australia Group Pty Ltd) Division Challenge Click for practice questions 5. Simplify Step 1: Write down the question. Step 2: Look for common factors and simplify. Step 3: Re-write with simplified numerators and denominators y is a common factor 2 is a common factor Step 4: Multiply simplified numerators; multiply simplified denominators

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Next slide Previous slide Addition Subtraction Multiplication Copyright © Pearson Australia (a division of Pearson Australia Group Pty Ltd) Division Challenge Click for practice questions 6. Simplify Step 1: Write down the question. Step 2: Change to multiplication and invert (take the reciprocal of) the last fraction. Step 3: Continue as for multiplication examples x is a common factor 3 is a common factor i.Multiply numerators 12 x = 3 x ii.Multiply denominators iii.Simplify by canceling common factors

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Next slide Previous slide Addition Subtraction Multiplication Copyright © Pearson Australia (a division of Pearson Australia Group Pty Ltd) Division Challenge Click for practice questions 7. Simplify x is a common factor 1. Insert brackets – order of operations 2. Cancel common factors x 1 4. Common denominator 5. Add numerators 3. Simplify Next challenge please

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Next slide Previous slide Addition Subtraction Multiplication Copyright © Pearson Australia (a division of Pearson Australia Group Pty Ltd) Division Challenge Click for practice questions 8. Simplify 1. Change division to multiplication and invert last fraction 2. Multiply numerators; multiply denominators 4. Re-write with simplified numerators and denominators. 3. Cancel common factors 2 31 x2x2 x is a common factor 10 is a common factor Next challenge please

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Next slide Previous slide Addition Subtraction Multiplication Copyright © Pearson Australia (a division of Pearson Australia Group Pty Ltd) Division Challenge Click for practice questions 9. Simplify 1. Order of operations – do the multiplication first. Notice how 2x 2 is re-written to make things easier. 3. Re-write with simplified numerators and denominators. 2. Cancel common factors. 1 x x is the H.C.F 4. Common denominator. 5. Subtract numerators.

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Next slide Previous slide Addition Subtraction Multiplication Copyright © Pearson Australia (a division of Pearson Australia Group Pty Ltd) Division Challenge Click for practice questions Last slide Use the navigation buttons to repeat selected slides.

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