Conversion of Fraction into a Percentage

Conversion of Fraction into a Percentage

NUMERATORS

D E N O M I N A T O R S		1	2	3	4	5	6	7	8	9	10	11	12
	1	100	200	300	400	500	600	700	800	900	1000	1100	1200
	2	50	100	150	200	250	300	350	400	450	500	550	600
	3	33.33	66.66	100	133.33	166.66	200	233.33	266.66	300	333.33	366.60	400
	4	25	50	75	100	125	150	175	200	225	250	275	300
	5	20	40	60	80	100	120	140	160	180	200	220	240
	6	16.66	33.33	50	66.66	83.33	100	116.66	133.33	150	166.66	183.33	200
	7	14.28	28.56	42.85	57.13	71.42	85.71	100	114.28	128.56	142.85	157.13	171.42
	8	12.5	25	37.5	50	62.5	75	87.5	100	112.5	125	137.5	150
	9	11.11	22.22	33.33	44.44	55.55	66.66	77.77	88.88	100	111.11	122.22	133.33
	10	10	20	30	40	50	60	70	80	90	100	110	120
	11	9.09	18.18	27.27	36.36	45.45	54.54	63.63	72.72	81.81	90.9	100	109.09
	12	8.33	16.66	25	33.33	41.66	50	58.33	66.66	75	83.33	91.66	100
	15	6.66	13.33	20	26.66	33.33	40	46.66	53.33	60	66.66	73.33	80

(Percentage fraction conversion table)

Remember: 

1/7 = 14.28%  and  1/14 = 7.14%

1/6 = 16.66% and  1/15 = 6.66%

1/9 = 11.11% and  1/11 = 9.09%

1/15 = 6.66% and 1/16 = 6.25%

1/3 = 33.33% and 3/10 = 30%

99.99% is equivalent to 100% ( in calculation)

Some  other typical values

1/13 = 7.69% = 7.7%,     1/17 = 5.88%,  1/19 = 5.26%,

1/21 = 4.76%,   1/23 = 4.35%,  1/24 = 41.66%

Learning from the table :

i) This table is a first hand support as a percentage values of some frequently used fractions.

ii) All the percentage values whose decimal part in 0.33, 0.66, 0.00 contain the denominator 3 in the fraction.

iii) Similarly if there is 0.16, 0.33, 0.50, 0.66, 0.83, 0.00 it means there is a 6 in the denominator of the fraction.

iv) Similarly if there is 0.28, 0.56, 0.85, 0.13, 0.42, 0.71 it means there is a 7 as denominator.

v) If there is 0.11, 0.22, 0.33, 0.44.....0.99 etc. It means there is 9 as the denominator of the fraction.

vi) If there is 0.09, 0.18, 0.27... it means there is 11 as the denominator of the fraction.

vii) If two percentage values have different decimal values ( there must be different denominators) then their addition or subtraction results always in decimal i.e., never as an integer.