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OPERATIONS USING FRACTIONS. 1. Add, subtract, multiply and divide fractions with and without a calculator. 2. Convert between equivalent forms of fractions.

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Presentation on theme: "OPERATIONS USING FRACTIONS. 1. Add, subtract, multiply and divide fractions with and without a calculator. 2. Convert between equivalent forms of fractions."— Presentation transcript:

1 OPERATIONS USING FRACTIONS

2 1. Add, subtract, multiply and divide fractions with and without a calculator. 2. Convert between equivalent forms of fractions. 3. Find the decimal equivalent of any fraction using a calculator.

3 ADDING, SUBTRACTING, MULTIPLYING AND DIVIDING WITH AND WITHOUT A CALCULATOR. Without a calculator: ½ + ½ + ½ = 1+1+1 2 = 3/2 = 1 ½ Using a calculator: 0.5 + 0.5 + 0.5 =1.5

4 Without a calculator: 8/8 - 3/8 – 1/8 = 8-3-1 8 = 4/8 = ½ With a calculator: 1 – 0.375 – 0.125 = 0.5 Subtraction...

5 Without a calculator: 2/5 x 3/5 = 2 x 3 5 x 5 = 6 25 With a calculator: 0.4 x 0.6 =0.24 Multiplication...

6 With a calculator: 1 ÷ 0.375 = 2.67 Without a calculator: 1 ÷ 3/8 = 1 x 8 1 3 = 8/3 Division...

7 2WHAT HAPPENS IF THE FRACTIONS THAT YOU ARE WORKING WITH ALL HAVE DIFFERENT DENOMINATORS? Example: 4/5 + 2/4 + 1/2 + 7/10 = ? You have to convert the fractions to reach a common denominator

8 Without a calculator: 4/5 + 2/4 + 1/2 + 7/10 = ? 4 x 4 + 2 x 5 + 1 x 10 + 7 x 2 5 x 4 4 x 5 2 x 10 10 x2 16 + 10 +10 +14 20 = 50 20 = 5/2 =2.5

9 With a calculator: 4/5 + 2/4 + 1/2 + 7/10 = ? First, you need to know how to find the decimal equivalent of any fraction using a calculator: Using a calculator, take the top number of the fraction and divide it by the bottom number. Example: 4 5 = 4 ÷ 5 = 0.8

10 However, when dealing with many fractions using different denominators, it is easier to input the entire sum using brackets: 4/5 + 2/4 + 1/2 + 7/10 = (4÷5) + (2÷4) + (1÷2) + (7÷10) = 2.5


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