Factions Multiples
Fractions and Multiples : āĻāĻā§āĻ¨āĻžāĻāĻļ āĻā§°ā§ āĻā§āĻŖāĻŋāĻ¤āĻ
- Multiples : āĻā§āĻŖāĻŋāĻ¤āĻ : A multiple is the product of a number and another whole number. (āĻā§āĻŖāĻŋāĻ¤āĻ āĻšā§āĻā§ āĻāĻāĻž āĻ¸āĻāĻā§āĻ¯āĻž āĻā§°ā§ āĻāĻ¨ āĻāĻāĻž āĻĒā§ā§°ā§āĻŖ āĻ¸āĻāĻā§āĻ¯āĻž āĻā§āĻŖ āĻā§°āĻŋāĻ˛ā§ āĻĒā§ā§ąāĻž āĻĢāĻ˛āĨ¤)
- Multiples can be found by skip counting. (skip counting āĻā§°āĻŋ āĻā§āĻŖāĻŋāĻ¤āĻ āĻŦāĻŋāĻāĻžā§°āĻŋ āĻāĻ˛āĻŋāĻ¯āĻŧāĻžāĻŦ āĻĒāĻžā§°āĻŋāĨ¤)
- A multiple can be divided exactly by that number. (āĻā§āĻŖāĻŋāĻ¤āĻāĻ āĻ¸ā§āĻ āĻ¸āĻāĻā§āĻ¯āĻžā§°ā§ āĻ¸āĻŽā§āĻĒā§ā§°ā§āĻŖāĻāĻžā§ąā§ āĻāĻžāĻ āĻā§°āĻŋāĻŦ āĻĒāĻžā§°āĻŋāĨ¤)
Examples of Multiples : āĻā§āĻŖāĻŋāĻ¤āĻā§° āĻāĻĻāĻžāĻšā§°āĻŖ
- Multiples of 2 | ā§¨ ā§° āĻā§āĻŖāĻŋāĻ¤āĻ : 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24
- Multiples of 3 | ā§Š ā§° āĻā§āĻŖāĻŋāĻ¤āĻ : 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36
- Multiples of 4 | ā§Ē ā§° āĻā§āĻŖāĻŋāĻ¤āĻ : 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48
- Multiples of 5 | ā§Ģ ā§° āĻā§āĻŖāĻŋāĻ¤āĻ : 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60
- Multiples of 6 | ā§Ŧ ā§° āĻā§āĻŖāĻŋāĻ¤āĻ : 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72
- Multiples of 7 | ā§ ā§° āĻā§āĻŖāĻŋāĻ¤āĻ : 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84
- Multiples of 8 | ā§Ž ā§° āĻā§āĻŖāĻŋāĻ¤āĻ : 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96
- Multiples of 9 | ā§¯ ā§° āĻā§āĻŖāĻŋāĻ¤āĻ : 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108
Least Common Multiple (LCM) : āĻ˛āĻāĻŋāĻˇā§āĻ āĻ¸āĻžāĻ§āĻžā§°āĻŖ āĻā§āĻŖāĻŋāĻ¤āĻ (LCM) : The LCM is the smallest common multiple of two or more numbers. (LCM āĻšā§āĻā§ āĻĻā§āĻāĻž āĻŦāĻž āĻ¤āĻžāĻ¤ā§āĻ§āĻŋāĻ āĻ¸āĻāĻā§āĻ¯āĻžā§° āĻāĻāĻžāĻāĻ¤āĻā§ āĻ¸ā§°ā§ āĻ¸āĻžāĻ§āĻžā§°āĻŖ āĻā§āĻŖāĻŋāĻ¤āĻāĨ¤)
Example: LCM of 5 and 3 : āĻāĻĻāĻžāĻšā§°āĻŖ: ā§Ģ āĻā§°ā§ ā§Š ā§° LCM
Multiples of 5 | ā§Ģ ā§° āĻā§āĻŖāĻŋāĻ¤āĻ : 5, 10, 15, 20, 25, 30, 35
Multiples of 3 | ā§Š ā§° āĻā§āĻŖāĻŋāĻ¤āĻ : 3, 6, 9, 12, 15, 18, 21, 24
• 15 is the first common multiple. : ā§§ā§Ģ āĻšā§āĻā§ āĻĒā§ā§°āĻĨāĻŽ āĻ¸āĻžāĻ§āĻžā§°āĻŖ āĻā§āĻŖāĻŋāĻ¤āĻāĨ¤ Therefore (āĻ¸ā§āĻ¯āĻŧā§āĻšā§) LCM = 15
Fractions : āĻāĻā§āĻ¨āĻžāĻāĻļ : A fraction shows a part of a whole. : āĻāĻā§āĻ¨āĻžāĻāĻļā§ āĻāĻāĻž āĻ¸āĻŽā§āĻĒā§ā§°ā§āĻŖ āĻŦāĻ¸ā§āĻ¤ā§ā§° āĻ āĻāĻļ āĻĻā§āĻā§ā§ąāĻžāĻ¯āĻŧāĨ¤
• A fraction has two parts: āĻāĻāĻž āĻāĻā§āĻ¨āĻžāĻāĻļā§° āĻĻā§āĻāĻž āĻ āĻāĻļ āĻĨāĻžāĻā§ -
- Numerator → Top number (āĻ˛āĻŦ → āĻāĻĒā§°ā§° āĻ¸āĻāĻā§āĻ¯āĻž)
- Denominator → Bottom number (āĻšā§° → āĻ¤āĻ˛ā§° āĻ¸āĻāĻā§āĻ¯āĻž)
Example of Fraction : āĻāĻā§āĻ¨āĻžāĻāĻļā§° āĻāĻĻāĻžāĻšā§°āĻŖ
1/2It means 1 part out of 2 equal parts.(āĻāĻ¯āĻŧāĻžā§° āĻ ā§°ā§āĻĨ āĻšā§āĻā§ ā§¨ āĻāĻž āĻ¸āĻŽāĻžāĻ¨ āĻ āĻāĻļā§° āĻāĻŋāĻ¤ā§°āĻ¤ ā§§ āĻāĻž āĻ āĻāĻļāĨ¤)
LCD : Lowest Common Denominator (āĻ¸ā§°ā§āĻŦāĻ¨āĻŋāĻŽā§āĻ¨ āĻ¸āĻžāĻ§āĻžā§°āĻŖ āĻšā§°)
- In fractions, LCM is called LCD. (āĻāĻā§āĻ¨āĻžāĻāĻļāĻ¤ LCM āĻ LCD āĻŦā§āĻ˛āĻž āĻšāĻ¯āĻŧāĨ¤)
- LCD is the smallest common multiple of denominators. (LCD āĻšā§āĻā§ āĻšā§°āĻ¸āĻŽā§āĻšā§° āĻāĻāĻžāĻāĻ¤āĻā§ āĻ¸ā§°ā§ āĻ¸āĻžāĻ§āĻžā§°āĻŖ āĻā§āĻŖāĻŋāĻ¤āĻāĨ¤)
Example: LCD of 4 and 5 : āĻāĻĻāĻžāĻšā§°āĻŖ: ā§Ē āĻā§°ā§ ā§Ģ ā§° LCD
Multiples of 4 | ā§Ē ā§° āĻā§āĻŖāĻŋāĻ¤āĻ : 4, 8, 12, 16, 20, 24, 28, 32
Multiples of 5 | ā§Ģ ā§° āĻā§āĻŖāĻŋāĻ¤āĻ : 5, 10, 15, 20, 25, 30, 35
20 is the smallest common multiple. (ā§¨ā§Ļ āĻšā§āĻā§ āĻāĻāĻžāĻāĻ¤āĻā§ āĻ¸ā§°ā§ āĻ¸āĻžāĻ§āĻžā§°āĻŖ āĻā§āĻŖāĻŋāĻ¤āĻāĨ¤), Therefore(āĻ¸ā§āĻ¯āĻŧā§āĻšā§,), LCD = 20