DECIMAL   FRACTIONS

• Decimal  Fractions  :   Fractions in which the denominators are powers of  10  are called  decimal fractions.

• Converting  a  Decimal  Into  a  Vulgar  Fraction  :
  • Rule  :   In  the denominator, put  1  under the decimal point and annex with it as many zeros  as is the number of  digits after the decimal point. Now, remove the decimal point and reduce the fraction to lowest terms.

e.g.  Convert  (i)  0.75  and  (ii)  2.008  into vulgar fractions.

• • Remark  :   The given numbers are so placed under each other that the decimal point lie in column.  Now, the numbers can be added or subtracted as usual, putting the decimal point under the decimal points and blanks are covered with zeros.

e.g.    (i)  51.7 + 6.074 + .31 + .4  =  ?             (ii)  5.071 – 3.51  =  ?

• Multiplication of  a  Decimal  Fraction by  a Power of  10 :
  • Rule  :   Multiply the given numbers considering them without the decimal point. In the product, the decimal point is marked off  to obtain as many places of  decimal as is the sum of  the number of  decimal places in the given numbers.

• Dividing  a  Decimal  Fraction by a Counting Number  :
  • Rule  :   Divide the given decimal fraction without the decimal point by the given counting number. Now, in the quotient, put the decimal point to give as many paces of  decimal as are there in the dividend.

• Dividing  a  Decimal Fraction by a  Decimal Fraction  :
  • Rule  :   Multiply both the dividend and the divisor by a suitable power of  10 to make the divisor a whole number. Now, proceed as above.

• H.C.F.  &  L.C.M.  of  Decimal  Fractions  :
  • Rule  :   In the given decimal numerals, make same number of  decimal places by annexing zeros if needed. Considering these numbers without decimal places, find H.C.F.  or  L.C.M. as the case may be. Now, in the result, mark off as many decimal places as are there in each of  the given numbers.

• Comparison of  Fractions  Using  Decimals  :
  • Rule  :   Convert each one of  the given fractions in decimal form. Now, arrange them in ascending or descending order as per requirement.