## FRACTIONS AND DECIMALS - ESSENTIAL POINTS

• The fraction is the part of the whole. For instance the red color is shaded in 2 parts out of total 8 parts. Hence fraction of red color shaded is 2/8 = 1/4 .
• The fraction has a numerator and denominator. For instance in the fraction 2/9, 2 is numerator and 9 is denominator.
• The proper fractions are the fractions in which numerator is less than the denominator. For instance 4/15 is a proper fraction.
• The improper fraction are the fraction in which numerator is more than the denominator. 12/7 is a improper fraction.
• Equivalent fractions are fractions that look different but show exactly the same amount. For example 1/2 and 4/8.
• It is usually best to show an answer using the simplest fraction ( 1/2 in this case ). That is called Simplifying, or Reducing the Fraction
• To find an equivalent fraction, multiply or divide the numerator and denominator by the same number. For instance if the fraction 3/5 is multiplied by 4, it would be 12/20.

• The fraction expressed in points is decimals. For instance, the fraction 1/4, when expressed in decimal becomes 0.25. The fraction 1/4, when converted converted into percentage becomes 1/4 X 100 = 25%.
• A Decimal Number (based on the number 10) contains a Decimal Point.
• Every fraction can be written in decimals, percentage and vice versa.
• Every decimal can be written as a fraction.
• Example : Lets take a decimal 0.30. To convert it into fraction we have to multiply the decimal by 10 for every number after the decimal point and then divide by the same number.
• For example to convert 0.30 into fraction we have to multiply it by 10, that is 0.3 X 10 = 3. Then divide it by 10, that is 3/10.
• If the decimal 0.03 is to be converted into fraction, then we have to multiply it by 100, and then divide by 100 ( 3/100 ).
• Any two decimal numbers can be compared among themselves.
• The decimal 3.10 > 3.06 > 3.04 > 3.005 > 3.004