Vulgar Fraction

Vulgar Fraction

Here are the key points of working out Vulgar fraction within seconds.The sign of repeating is dot over the digit in text book but I will use prime sign '.

• Case-I(When all digits in decimal part are repeating)

• In this case , in the denominator of vulgar Fraction , the number of nines is equal to number of repeating digits and numerator is actually the complete given number without decimal minus the number before decimal.For example : vulgar Fraction of 2.3'4'2' will be : 2342-2/999 = 2340/999.Simmilarly , Vulgar fraction of 13.4'2'3'5' will be : 134235-13/9999 = 134222/9999.And of 0.2'7'1' will be :::::: 0271-0/9999 = 271/999.

• Case-II(When all digits are not repeating)

• In this case ,in Denominator ,  the number of nines is equal to number of repeating digits and after nines we put zeros and number of zeros is equal to number of non-repeating digits in decimal part.The Numerator is the whole givan number without decimal minus the number before repeating digits.For example : Vulgar fraction for2.13'4'1' will be : 21341-21/9990 = 21320/9990. And for 0.021' will be : 0021-002/900 = 19/900.

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• Problem Set : (Find vulgar fractions for following)
• 11.2'1'2'
• 0.12'1'
• 2.12'3'9'
• 0.001'
• 201.2'0'1'

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• Solution Set :
• 11201/999.
• 120/990.
• 21218/9990.
• 1/900.
• 201000/999.