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Fractions, Decimals & Percentages

Fractions, Decimals & Percentages. Fractions. Must be able to: Change Mixed Numbers into Improper Fractions Change Improper Fractions into Mixed Numbers Multiply Fractions Divide Fractions Add/Subtract Fractions. Change Mixed Numbers to Improper Fractions.

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Fractions, Decimals & Percentages

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  1. Fractions, Decimals & Percentages Mr. Roche: 1st Year maths

  2. Fractions Must be able to: Change Mixed Numbers into Improper Fractions Change Improper Fractions into Mixed Numbers Multiply Fractions Divide Fractions Add/Subtract Fractions Mr. Roche: 1st Year maths

  3. Change Mixed Numbers to Improper Fractions E.g. Change into an improper fraction. 15 + 2 = 17 The Denominator doesn’t change + • 17 = 5 3(5) = 15 • x Mr. Roche: 1st Year maths

  4. 2. Change Improper Fractions to Mixed Numbers E.g. Change into a mixed number. What is the shape of the answer? The Denominator doesn’t change 13 ÷ 4 = 3 Times Remainder 1 Now Divide: 13 ÷ 4 Numerator ? 1 Whole Number ? 3 = 4 Denominator ? Mr. Roche: 1st Year maths

  5. 3. Multiply Fractions Step 1 Look for cancellations Step 1 3 ÷ 3 = 1 6 ÷ 3 = 2 5 E.g. Multiply 8 1 Step 2 Multiply Top x Top Bottom x Bottom Step 2 Multiply 1 x 5 = 5 4 x 2 = 8 = • 2 Mr. Roche: 1st Year maths

  6. 3. Divide Fractions Step 1 Rewrite: “Invert and Multiply” 3 E.g. Divide 8 Step 2 Look for cancellations Step 2 10 ÷ 5 = 2 5 ÷ 5 = 1 14 1 Step 3 Multiply Top x Top Bottom x Bottom Step 3 Multiply 3 x 1 = 3 2 x 7 = 14 = = • 2 Mr. Roche: 1st Year maths

  7. 5. Add/Subtract Fractions Step 1 Find the L.C.D. E.g. Add 3 Consider the multiples of the bigger denominator 6 12 18 24 Step 2 Divide & Multiply  12 ÷ 4 = 3 12 ÷ 6 = 2 10 + 2 x 5 = 10 1 x 3 = 3 Step 3 Add or Subtract 12 LCD? Mr. Roche: 1st Year maths

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