What is a Fraction ?


What is a Fraction ? āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ āĻ•āĻŋ ?



  • A fraction is a number that represents a part of a whole or group. : āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ āĻšā§ˆāϛ⧇ āĻāϟāĻž āϏāĻ‚āĻ–ā§āϝāĻž āϝāĻŋ āĻāϟāĻž āϏāĻŽā§āĻĒā§‚ā§°ā§āĻŖ āĻŦāĻ¸ā§āϤ⧁ āĻŦāĻž āĻ—ā§‹āϟ⧰ āĻ…āĻ‚āĻļ āĻŦ⧁āϜāĻžā§ŸāĨ¤

  • It is written as numerator / denominator. : āχ āϏāĻžāϧāĻžā§°āĻŖāϤ⧇ āϞāĻŦ / āĻšā§° (numerator / denominator) ā§°ā§‚āĻĒ⧇ āϞāĻŋāĻ–āĻž āĻšā§ŸāĨ¤

  • The numerator shows the parts taken, and the denominator shows total equal parts. āϞāĻŦ-āĻ āĻ˛ā§‹ā§ąāĻž āĻ…āĻ‚āĻļ āĻĻ⧇āĻ–ā§ā§ąāĻžā§Ÿ āφ⧰⧁ āĻšā§°-āĻ āĻŽā§āĻ  āϏāĻŽāĻžāύ āĻ…āĻ‚āĻļ āĻĻ⧇āĻ–ā§ā§ąāĻžā§ŸāĨ¤

  • Example: 3/4 means 3 parts out of 4 equal parts. : āωāĻĻāĻžāĻšā§°āĻŖ: 3/4 āĻŽāĻžāύ⧇ ā§ĒāϟāĻž āĻ­āĻžāĻ—ā§° āĻ­āĻŋāϤ⧰āϤ ā§ŠāϟāĻž āĻ…āĻ‚āĻļāĨ¤

  • In 5/8, 5 is numerator and 8 is denominator. : 5/8-āϤ 5 āĻšā§ˆāϛ⧇ āϞāĻŦ āφ⧰⧁ 8 āĻšā§ˆāϛ⧇ āĻšā§°āĨ¤

  •  Fractions can be represented in different ways : āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ āĻŦāĻŋāĻ­āĻŋāĻ¨ā§āύ āĻĒāĻĻā§āϧāϤāĻŋāϤ āĻĻ⧇āϖ⧁āĻ“ā§ąāĻž āϝāĻžā§Ÿ:

    • Shape/Area model (divided figure) : āφāĻ•āĻžā§° āĻŦāĻž āϚāĻŋāĻ¤ā§ā§° (āϏāĻŽāĻžāύ āĻ­āĻžāĻ— āϕ⧰āĻž)

    • Number line (between 0 and 1) : āϏāĻ‚āĻ–ā§āϝāĻž ⧰⧇āĻ–āĻž (0 āφ⧰⧁ 1-ā§° āĻŽāĻžāϜāϤ)

    • Set model (group of objects) : āĻŦāĻ¸ā§āϤ⧁⧰ āĻ—ā§‹āϟ (āĻ—ā§‹āϟ⧰ āĻ…āĻ‚āĻļ)

    • Word form (three-fourths) : āĻļāĻŦā§āĻĻ ā§°ā§‚āĻĒ (āϤāĻŋāύāĻŋāϟāĻž āϚāĻ¤ā§ā§°ā§āĻĨāĻžāĻ‚āĻļ)



  • Equivalent fractions like 1/2 = 2/4 = 4/8 have the same value. : 1/2 = 2/4 = 4/8 āĻāϕ⧇ āĻŽāĻžāύ⧰ āĻ­āĻ—ā§āύāĻžāĻ‚āĻļāĨ¤

  • Fractions are useful in daily life for sharing, measuring, and dividing things. : āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ āĻĻ⧈āύāĻ¨ā§āĻĻāĻŋāύ āĻœā§€ā§ąāύāϤ āĻ­āĻžāĻ—-āĻŦāϤ⧰āĻž, āĻŽāĻžāĻĒ, āĻŦāĻŖā§āϟāύ āφāĻĻāĻŋāϤ āĻŦā§āĻ¯ā§ąāĻšāĻžā§° āĻšā§ŸāĨ¤


Note: 



  • Fraction = part of whole : Fraction = āĻāϟāĻž āĻ…āĻ‚āĻļ

  • Numerator = taken part : āϞāĻŦ = āĻ˛ā§‹ā§ąāĻž āĻ…āĻ‚āĻļ

  • Denominator = total parts : āĻšā§° = āĻŽā§āĻ  āĻ…āĻ‚āĻļ

  • Representation: shape, number line, set, words : āĻĒāĻĻā§āϧāϤāĻŋ: āφāĻ•āĻžā§°, āϏāĻ‚āĻ–ā§āϝāĻž ⧰⧇āĻ–āĻž, āĻŦāĻ¸ā§āϤ⧁⧰ āĻ—ā§‹āϟ, āĻļāĻŦā§āĻĻ