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Rules for Avoiding Common Errors. Simplifying === 10 = Greatest Common Factor Write the numerator and denominator as a product of factors, then cancel.

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Presentation on theme: "Rules for Avoiding Common Errors. Simplifying === 10 = Greatest Common Factor Write the numerator and denominator as a product of factors, then cancel."— Presentation transcript:

1 Rules for Avoiding Common Errors

2 Simplifying === 10 = Greatest Common Factor Write the numerator and denominator as a product of factors, then cancel common factors and obtain the result. Reduce

3 Simplifying === Write the numerator and denominator as a product of common factors then cancel the common factors and obtain the result. = Repeat the simplification process until all common factors are removed.

4 Converting Mixed Numbers 1 5 3 + = 16 3 1 5 333 Multiply the whole number by the denominator Add the numerator to the result Compute the final result Place over the initial denominator

5 Converting Mixed Numbers 2 6 9 + = 56 9 2 6 999 Multiply the whole number by the denominator Add the numerator to the result Compute the final result Place over the initial denominator

6 Multiplying = 310 811 = 3 4 25 2 = 15 44 Fraction Multiplication Fraction Simplification

7 Multiplying = 215 3 4 = 2 3 35 2 2 = 5 2 Fraction Multiplication Fraction Simplification

8 Dividing 5 12 7 3 === 5 3 7 34 5 7 3 28 5 Fraction Division Fraction Simplification and Multiplication

9 Dividing 5 24 15 8 = = = 5 24 8 15 38 5 9 1 Fraction Division Fraction Simplification 5 4 8 15 4= Mixed Number Conversion 35 8 =9 Fraction Multiplication

10 Adding/Subtracting 3 88 13 84 1 ==-- 1 8 8 8 2 = Fraction Addition/Subtraction Fraction Simplification

11 Adding/Subtracting 28 112 7 + + + = = = Common Denominator = ?????? 28 11 7 2 4 4 28 11 28 8 +118 = 28 19 Fraction Addition/Subtraction

12 Rules of Fractions Review Fraction Simplification Mixed Number Conversion Fraction Multiplication Fraction Division Fraction Addition/Subtraction

13 YOU TRY IT 21 8 16 5 13 45 6 5

14 Fractions: Steps for Success 1. Know the fraction rules and how to apply them 2. Show your work and write out each step 3. Check your work for errors or careless mistakes

15 =+ 19 8 1 4 =+ 8 2 8 = 21 8 Mixed Number Conversion Fraction Addition

16 =- 25 45 12 45 = 13 45 Fraction Subtraction

17 Fraction Simplification = 3 2 34 35 = 3 2 4 5 = 3 2 2 5 2 3 1 = 2 5 = 6 5 Fraction Multiplication

18 = 3 5 4 3 4 = 35 412 Fraction Simplification Fraction Division = 5 44 1 = 16 5 Fraction Multiplication


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