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# Fractions2

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### Fractions2

1. 1. Learning OutcomesMultiply mixed numbers with a whole number.Divide fractions with :a whole number.a fractionDivide mixed numbers with :a whole number.a fraction.
2. 2. Multiply mixed numbers with a whole number. Example 1 : 1 × 50 Convert to Step 1 : improper 3 × 50 fraction 2 Step 2 : Multiply the 3 3x50 numerator by × 50 the whole 2 2 number Carry out the division Step 3 : 150 150 ÷2 2 Answer = 75 Cancellation Alternative : method 25 × 50 = 75
3. 3. Example 2: 1 × 100 Convert to improper Step 1 : fraction × 100 Step 2 : Multiply the numerator by × 100 the whole number Carry out the division Step 3 : ? ÷4 Answer = ?
4. 4. Divide fractions with : a whole number and a fraction Example 1 : Find the quotient ÷ 5 Change the ÷ to x Inverse the divisor 5 5= Step 1 : 1 5 ÷ 3 1 Multiply numerator Step 2 : by numerator, 1 1 1 denominator by × = 3 5 15 denominator Example 2 : Find the quotient ÷ ÷ Change the ÷ to x Inverse the divisor Step 1 : 1 2 ÷ 3 9 Step 2 : 3 × = = Carry out the plan by cancellation = 1 method *Don’t forget to convert improper fraction to a
5. 5. Example 3 : Find the quotient ÷ 6Change the ÷ to x Inverse the divisor Step 1 : ÷ Step 2 : × = = Answer in the simplest formExample 4 : Find the quotient ÷ ÷Change the ÷ to x Inverse the divisor Step 1 : ÷ Step 2 : × =
6. 6. Divide mixed numbers with : a whole number and a fraction Convert into improper fraction Example 1 : Find the quotient 2 ÷5 Change the ÷ to × Inverse the divisor 5 5= Step 1 : 9 5 ÷ 4 1 Multiply numerator Step 2 : by numerator, 9 1 9 denominator by × = 4 5 20 denominator Example 2 : Find the quotient ÷ 4 ÷ Convert into improper fraction Change the ÷ to x Inverse the divisor Step 1 : 40 8 ÷ 9 9 Step 2 : 5 Carry out the plan 40 9 by cancellation × 9 8 method =5
7. 7. Example 3 : Find the quotient 2 ÷ 6Change the ÷ to x Inverse the divisor Step 1 : ÷ 7 Step 2 : 1 × = Example 4 : Find the quotient 2 ÷ ÷Change the ÷ to × Inverse the divisor Step 1 : ÷ 7 Step 2 : 1 × =
8. 8. Solve problems involving multiplication and division. Example : Material Quantity Price Yellow beads 1 RM5 per packet 2 packets 2 1 Mina buys 2 packets of yellow beads. Calculate the total cost of the beads. 2 STEP 1: 1 2 × RM5 2 Understand the problem and underline the key words Convert mixed number intoSTEP 2 : improper fractions 5 × RM5 2STEP 3: RM 25 = RM12.50 2