Slide fractions

5,522 views

Published on

Published in: Education, Technology, Business
3 Comments
6 Likes
Statistics
Notes
No Downloads
Views
Total views
5,522
On SlideShare
0
From Embeds
0
Number of Embeds
13
Actions
Shares
0
Downloads
240
Comments
3
Likes
6
Embeds 0
No embeds

No notes for slide

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:

×