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EQUIVALENT FRACTIONS
Definition:   – Equivalent fractions are fractions having the same     values.   – It can be obtained by multiplying both ...
Determining equivalent fractions– To determine whether two fractions are equivalent,  convert each fraction into fractions...
Comparing two fractions – If two fractions have the same denominators, their   values can be compared by comparing   their...
– If two fractions have different denominators, convert   both fractions into their respective   equivalent fractions with...
Arranging fractions in order– To arrange fractions in order, convert the given  fractions into equivalent fractions with  ...
Example :
Lowest terms – To simplify a fraction to its lowest terms, divide the   numerator and the denominator of   the fraction by...
Mixed NumbersDefinition:– A mixed number is a number consisting of a whole  number and a fractionExample :
Comparing and arranging           mixed numbers– Like fractions, mixed numbers can be arranged and  compared on a number l...
PROPER FRACTIONS AND  IMPROPER FRACTIONS
• Definition:   – A proper fraction is a fraction whose numerator is     less than the denominator• example:
• Definition   – An improper fraction is a fraction whose numerator is     equal to or greater than the denominator• examp...
• Changing mixed numbers into improper fractions  – To change a mixed number into an improper fraction,    multiply the wh...
• example:
• Changing improper fractions into mixed  numbers  – To change an improper fraction into a mixed    number, divide the num...
• example:
176
ADDITION OF FRACTIONS
• Definition:   – Addition of fractions is a process of finding the sum of     two or more fractions• Adding two fractions...
• Example 1:
• Example 2:
• Adding two fractions with different denominators   – To add two fractions with different denominators,     convert both ...
• Adding whole numbers and fractions   – A mixed number is produced when adding a whole     number and a fraction.• example:
• Adding fractions and mixed numbers   – To add a fraction and a mixed number, keep the     whole number part and add the ...
• Adding two mixed numbers   – Convert mixed numbers into improper fractions. Then     perform the addition     like addin...
• Adding three fractions   – Convert the fractions so that they have a common     denominator before performing the additi...
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Slide fractions
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Slide fractions

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Transcript of "Slide fractions"

  1. 1. EQUIVALENT FRACTIONS
  2. 2. Definition: – Equivalent fractions are fractions having the same values. – It can be obtained by multiplying both the numerator and the denominator of the given fraction by the same non-zero whole number.Example :
  3. 3. Determining equivalent fractions– To determine whether two fractions are equivalent, convert each fraction into fractions with a common (same) denominator. Then, compare the numerators.Example :
  4. 4. Comparing two fractions – If two fractions have the same denominators, their values can be compared by comparing their numerators or by using a number line.Example :
  5. 5. – If two fractions have different denominators, convert both fractions into their respective equivalent fractions with the common denominator.Example :
  6. 6. Arranging fractions in order– To arrange fractions in order, convert the given fractions into equivalent fractions with the common denominator and then compare the numerators.
  7. 7. Example :
  8. 8. Lowest terms – To simplify a fraction to its lowest terms, divide the numerator and the denominator of the fraction by their HCF.Example :
  9. 9. Mixed NumbersDefinition:– A mixed number is a number consisting of a whole number and a fractionExample :
  10. 10. Comparing and arranging mixed numbers– Like fractions, mixed numbers can be arranged and compared on a number line. Any number on the number line is greater than numbers to its left.Example :
  11. 11. PROPER FRACTIONS AND IMPROPER FRACTIONS
  12. 12. • Definition: – A proper fraction is a fraction whose numerator is less than the denominator• example:
  13. 13. • Definition – An improper fraction is a fraction whose numerator is equal to or greater than the denominator• example:
  14. 14. • Changing mixed numbers into improper fractions – To change a mixed number into an improper fraction, multiply the whole number by the denominator and then add the numerator to it. The denominator remains the same.
  15. 15. • example:
  16. 16. • Changing improper fractions into mixed numbers – To change an improper fraction into a mixed number, divide the numerator by the denominator. The quotient obtained is the whole number part and the remainder is the numerator of the fractional part.
  17. 17. • example:
  18. 18. 176
  19. 19. ADDITION OF FRACTIONS
  20. 20. • Definition: – Addition of fractions is a process of finding the sum of two or more fractions• Adding two fractions with the same denominator – To add two fractions with the same denominator, keep the denominator and add the numerators.
  21. 21. • Example 1:
  22. 22. • Example 2:
  23. 23. • Adding two fractions with different denominators – To add two fractions with different denominators, convert both the fractions into their respective equivalent fractions with the same denominators.• example:
  24. 24. • Adding whole numbers and fractions – A mixed number is produced when adding a whole number and a fraction.• example:
  25. 25. • Adding fractions and mixed numbers – To add a fraction and a mixed number, keep the whole number part and add the fractional parts like adding two fractions.• example:
  26. 26. • Adding two mixed numbers – Convert mixed numbers into improper fractions. Then perform the addition like adding two fractions.• example:
  27. 27. • Adding three fractions – Convert the fractions so that they have a common denominator before performing the addition.• example:
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