Recommended
More Related Content
Similar to FRACTIONS
Similar to FRACTIONS (20)
More from sourabhrana21
More from sourabhrana21 (16)
Recently uploaded
Recently uploaded (20)
FRACTIONS
- 1. FRACTIONS
- 2. PROPER FRACTIONS 𝟑 𝟓 , 𝟕 𝟏𝟐 , 𝟏 𝟐 , 𝟗 𝟏𝟎 , 𝟎 𝟏𝟑 , 𝟓 𝟖 etc all these fractions are proper fractions In proper fractions , numerator is always less than the denominator.
- 3. MIXED FRACTIONS 5 𝟑 𝟒 , 7 𝟐 𝟕 , 1 𝟏 𝟑 etc all these fractions are mixed fractions 5 𝟑 𝟒 can be written as 5 + 𝟑 𝟒 7 𝟐 𝟕 can be written as 7 + 𝟐 𝟕
- 4. 1 𝟏 𝟑 can be written as 1 + 𝟏 𝟑 A mixed fraction has a combination of a whole and a part.
- 5. FROM MIXED FRACTION TO IMPROPER FRACTION We can express a mixed fraction as an improper fraction as 𝐰𝐡𝐨𝐥𝐞 𝐱 𝐃𝐞𝐧𝐨𝐦𝐢𝐧𝐚𝐭𝐨𝐫 + 𝐍𝐮𝐦𝐞𝐫𝐚𝐭𝐨𝐫 𝐃𝐞𝐧𝐨𝐦𝐢𝐧𝐚𝐭𝐨𝐫 https://www.udemy.com/course/basics-of- math/?referralCode=6FF51E8FD0CE20F99D35
- 6. Write the following as improper fractions -: a) 7 𝟏 𝟓 b) 2 𝟐 𝟑 c) 10 𝟒 𝟕 Ans - a) 7 𝟏 𝟓 improper fraction = 𝟕 𝐱 𝟓 + 𝟏 𝟓 = 𝟑𝟔 𝟓
- 7. Simplest form of a fraction A fraction is said to be in the simplest ( or lowest ) form if its numerator and denominator have no common factor except 1. The shortest way to find the equivalent fraction in the simplest form is to find the H.C.F of the numerator and denominator and then divide both of them by H.C.F.
- 8. Write the following as mixed fractions -: a) 𝟏𝟓 𝟕𝟓 b) 𝟖𝟒 𝟗𝟖 c) 𝟏𝟓𝟎 𝟔𝟎 Ans - a) 𝟏𝟓 𝟕𝟓 ( H.C.F of 15 and 75 is 15 ) Now divide both numerator and denominator by 15 𝟏𝟓 ÷ 𝟏𝟓 𝟕𝟓 ÷ 𝟏𝟓 = 𝟏 𝟓
- 9. Compare fractions -: a) 𝟗 𝟓 , 𝟏𝟐 𝟓 Ans - a) Since 9 < 12 and these are like fractions therefore 𝟗 𝟓 < 𝟏𝟐 𝟓
- 10. Compare fractions -: b) 𝟏𝟑 𝟐𝟕 , 𝟐𝟎 𝟐𝟕 Ans - b) Since 13 < 20 and these are like fractions therefore 𝟏𝟑 𝟐𝟕 < 𝟐𝟎 𝟐𝟕
- 11. Compare fractions -: c) 𝟑 𝟒 , 𝟒𝟓 𝟒 , 𝟐𝟗 𝟒 Ans - c) Since 3 < 29 < 45 and these are like fractions therefore 𝟑 𝟒 < 𝟐𝟗 𝟒 < 𝟒𝟓 𝟒
- 12. UNLIKE FRACTIONS Fractions with different denominators are called Unlike Fractions. 𝟏 𝟕 , 𝟏𝟏 𝟏𝟕 , 𝟓 𝟐 , 𝟐 𝟗 , 𝟕𝟎 𝟖𝟏 are all Unlike fractions 𝟑 𝟕 , 𝟑 𝟏𝟕𝟏 , 𝟑 𝟐𝟔 , 𝟑 𝟏𝟗 , 𝟑 𝟒𝟎 are all Unlike fractions with same numerator
- 13. Comparing Unlike Fractions with same numerator Compare two unlike fractions with same numerator , fraction with the greater denominator is the smaller fraction. For ex - Compare fractions - 𝟐 𝟗 and 𝟐 𝟕 Ans - Since 9 > 7 therefore , 𝟐 𝟕 > 𝟐 𝟗
- 14. Compare fractions -: b) 𝟓𝟎 𝟐𝟕 , 𝟓𝟎 𝟑𝟏 Ans - b) Since 27 < 31 and these are Unlike fractions with same numerator therefore 𝟓𝟎 𝟑𝟏 < 𝟓𝟎 𝟐𝟕 https://www.udemy.com/course/basics-of- math/?referralCode=6FF51E8FD0CE20F99D35
- 15. Adding Fractions To add fractions follow these steps 1) Find the L.C.M ( Least common multiple ) of denominators of fractions. 2) Convert fractions into an equivalent fractions whose denominators are same as that L.C.M 3) Now we will get like fractions whose denominators same as that L.C.M and now add them.
- 16. Add fractions -: a) 𝟐 𝟓 + 𝟏 𝟑 Ans - a) L.C.M of 3 and 5 is 15 Convert these fractions into an equivalent fractions with denominators same as that L.C.M ( 15 in this case ) 𝟐 × 𝟑 𝟓 × 𝟑 𝟏 × 𝟓 𝟑 × 𝟓 = 𝟔 𝟏𝟓 = 𝟓 𝟏𝟓
- 17. Now adding 𝟔 𝟏𝟓 + 𝟓 𝟏𝟓 = 𝟔 + 𝟓 𝟏𝟓 = 𝟏𝟏 𝟏𝟓
- 18. Subtracting Fractions To subtract fractions follow these steps 1) Find the L.C.M ( Least common multiple ) of denominators of fractions. 2) Convert fractions into an equivalent fractions whose denominators are same as that L.C.M 3) Now we will get like fractions whose denominators same as that L.C.M and now subtract them.
- 19. Subtract fractions -: a) 𝟓 𝟔 - 𝟏 𝟑 Ans - a) L.C.M of 3 and 6 is 6 Convert these fractions into an equivalent fractions with denominators same as that L.C.M ( 6 in this case ) 𝟓 𝟔 𝟏 × 𝟐 𝟑 × 𝟐 = 𝟐 𝟔
- 20. Now subtract 𝟓 𝟔 - 𝟐 𝟔 = 𝟓 − 𝟐 𝟔 = 𝟑 𝟔
- 21. Multiplication of a fraction by a fraction Multiplication of two fractions is Product of Numerators Product of Denominators
- 22. Multiply -: a) 𝟑 𝟓 x 𝟗 𝟕 Ans - a) 𝟑 × 𝟗 𝟓 × 𝟕 = 𝟐𝟕 𝟑𝟓
- 23. For lectures of fractions, visit my course on UDEMY. Link is below https://www.udemy.com/course/basics-of- math/?referralCode=6FF51E8FD0CE20F99D35