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Fractions

Learn how to avoid common errors in fractions, simplify and reduce fractions, find the greatest common factor, convert mixed numbers, and perform fraction operations efficiently. Practice steps for success and review key fraction rules for accuracy.

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Fractions

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  1. Fractions Rules for Avoiding Common Errors

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

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

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

  6. 3 10 2 5 15 8 11 44 Multiplying 3 = = = 11 4 2 Fraction Multiplication Fraction Simplification

  7. 2 15 3 5 5 2 3 4 2 2 Multiplying 2 = = = 3 Fraction Multiplication Fraction Simplification

  8. Fraction Division Dividing 3 3 12 12 28 7 3 4 = = = 3 5 7 7 5 5 5 Fraction Simplification and Multiplication

  9. Fraction Division 4 8 4 = Dividing 5 15 8 8 24 24 3 5 3 8 = = 8 5 15 15 5 5 9 = = 9 1 Fraction Simplification Fraction Multiplication Mixed Number Conversion

  10. Fraction Addition/Subtraction Adding/Subtracting Fraction Simplification 3 3 1 1 2 1 - - = = = 8 8 8 8 8 4 8

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

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

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

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

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

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

  17. 3 3 4 = 2 3 5 3 4 = 2 5 2 3 2 = 2 5 3 2 = 1 5 6 = 5 Fraction Simplification Fraction Simplification Fraction Simplification Fraction Simplification Fraction Multiplication

  18. 5 3 = 12 4 5 3 = 3 4 4 5 1 = 4 4 5 = 16 Fraction Division Fraction Simplification Fraction Simplification Fraction Multiplication

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