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Categories of fractions

Categories of fractions. Addition of fractions can be grouped into three categories i:e those with same denominator Those with different denominator Those with mixed fractions. 1. same denominator. This can be done by adding the numerator and maintaining the denominator.

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Categories of fractions

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  1. Categories of fractions • Addition of fractions can be grouped into three categories i:e • those with same denominator • Those with different denominator • Those with mixed fractions

  2. 1. same denominator • This can be done by adding the numerator and maintaining the denominator. • Below is a video clip that shows how this can be done.

  3. same denominator video clip

  4. More Illustration • Add the numerator and maintain the denominator.eg. • 1/5+2/5=(1+2)/5= • 1&2 are the numerators. Therefore we add 1+2 to get 3 . Since the denominator is same therefore the answer becomes 3/5 • In pairs try the following. 2/6+1/6=

  5. solution • 2/6+1/6=(2+1)/6=3/6

  6. 2. Fractions with Different denominators • Incase of different denominators use equivalent fractions • The below clip shows how to solve problems with different denominators.

  7. video clip 2

  8. . • For example • 3/4+1/7=(21+4)/28=25/28. • In pairs try • 1/6+4/11.

  9. solution • 1/6+4/11=(11+24)/66=35/66.

  10. 3.Mixed number fraction • For mixed numbers: first express them as improper fractions then add them appropriately. • Listen to the below video clip to shade more light.

  11. Mixed fraction video clip

  12. More Illustration. • For example • 5 2/3+1 4/5=17/3+9/5=(75+27)=112/15 • 7 7/15. • In pairs try 3 3/5 +5 ½.

  13. solution • 3 3/5+5 ½=18/5+11/2 • =(36+55)/10 • =101/10 • =10 1/10

  14. ASSIGNMENT • In your exercice books try • Ex.7.3 • 2)a &i

  15. Conclusion. • Addition of fraction need to be done considering equivalence. • Next lesson we will look at muiltiplication of fractions

  16. End • Thank you

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