Ratios, Fractions, Percent and Decimals (āĻ…āύ⧁āĻĒāĻžāϤ, āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ, āĻļāϤāĻžāĻ‚āĻļ āφ⧰⧁ āĻĻāĻļāĻŽāĻŋāĻ•)






Ratio (āĻ…āύ⧁āĻĒāĻžāϤ) : A ratio compares two quantities.(āĻ…āύ⧁āĻĒāĻžāϤ āĻĻ⧁āϟāĻž āĻĒā§°āĻŋāĻŽāĻžāĻŖā§° āϤ⧁āϞāύāĻž āϕ⧰⧇āĨ¤)


Example | āωāĻĻāĻžāĻšā§°āĻŖ : 3:5



  • Read as “3 to 5”, āχāϝāĻŧāĻžāĻ• “ā§Š ā§° āĻ…āύ⧁āĻĒāĻžāϤ ā§Ģ” āĻŦ⧁āϞāĻŋ āĻĒāĻĸāĻŧāĻž āĻšāϝāĻŧāĨ¤

  • It also means 3 out of 5. (āχāϝāĻŧāĻžā§° āĻ…ā§°ā§āĻĨ ā§Ģ āϟāĻžā§° āĻ­āĻŋāϤ⧰āϤ ā§Š āϟāĻžāĨ¤)


Ratio as a Fraction (āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ ā§°ā§‚āĻĒāϤ āĻ…āύ⧁āĻĒāĻžāϤ) : 3: 5


• Ratio 3:5 can be written as the fraction 3/5. (ā§Š:ā§Ģ āĻ…āύ⧁āĻĒāĻžāϤāĻ• ā§Š/ā§Ģ āĻ­āĻ—ā§āύāĻžāĻ‚āĻļ ā§°ā§‚āĻĒ⧇ āϞāĻŋāĻ–āĻŋāĻŦ āĻĒāĻžā§°āĻŋāĨ¤)


Ratio as a Decimal  (āĻĻāĻļāĻŽāĻŋāĻ• ā§°ā§‚āĻĒāϤ āĻ…āύ⧁āĻĒāĻžāϤ) : 3/5 = 0.6



  • Divide 3 by 5 to get the decimal. (ā§Š āĻ• ā§Ģ ⧰⧇ āĻ­āĻžāĻ— āϕ⧰āĻŋāϞ⧇ āĻĻāĻļāĻŽāĻŋāĻ• āĻĒā§‹ā§ąāĻž āϝāĻžāϝāĻŧāĨ¤)Ratio as a Percent (āĻļāϤāĻžāĻ‚āĻļ ā§°ā§‚āĻĒāϤ āĻ…āύ⧁āĻĒāĻžāϤ)


0.6 = 60% 


• 0.6 as a percent is 60%. (ā§Ļ.ā§Ŧ āĻ• āĻļāϤāĻžāĻ‚āĻļāϤ āϞāĻŋāĻ–āĻŋāϞ⧇ ā§Ŧā§Ļ% āĻšāϝāĻŧāĨ¤)


Easy Trick : āϏāĻšāϜ āύāĻŋāϝāĻŧāĻŽ : To change a decimal into a percent, multiply by 100 and add %. (āĻĻāĻļāĻŽāĻŋāĻ•āĻ• āĻļāϤāĻžāĻ‚āĻļāϞ⧈ ā§°ā§‚āĻĒāĻžāĻ¨ā§āϤ⧰ āϕ⧰āĻŋāĻŦāϞ⧈ ā§§ā§Ļā§Ļ ⧰⧇ āϗ⧁āĻŖ āϕ⧰āĻŋ % āϞāĻ—āĻžāĻŦ āϞāĻžāϗ⧇āĨ¤)


Ratio to Percent : āĻ…āύ⧁āĻĒāĻžāϤāĻ• āĻļāϤāĻžāĻ‚āĻļāϞ⧈ ā§°ā§‚āĻĒāĻžāĻ¨ā§āϤ⧰ āϕ⧰āĻž

1st: Turn the ratio into a fraction (āĻ…āύ⧁āĻĒāĻžāϤāĻ• āĻ­āĻ—ā§āύāĻžāĻ‚āĻļāϤ āϞāĻŋāĻ–āĻ•) : 3:5 = 3/5


2nd: Make denominator 100 (āĻšā§° ā§§ā§Ļā§Ļ āϕ⧰āĻ•) : 3/5 = 60/100

 

3rd: Change into percent (āĻļāϤāĻžāĻ‚āĻļāϤ āϞāĻŋāĻ–āĻ•) : 60/100 = 60%

Therefore (āϏ⧇āϝāĻŧ⧇āĻšā§‡), 3:5 = 60%