# CLASS-5CONVERSION OF DECIMAL FRACTION INTO COMMON FRACTION

Conversion Of A Decimal Fraction Into A Common Fraction -

To change a decimal fraction into a common fraction, first remove the decimal point. The number thus obtained becomes the numerator whose denominator is 10, 100 or 1000 etc. as per the place value of the decimals.

To know the place value of the decimals we look at the place value of the last digit to the right of the decimal point in the given decimal fraction. If the place value of that digit is tenths then the denominator of the common fraction will be 10, if it is hundredths then the denominator of the common fraction will be 100, and so on.

Example.1) Write the following as a fraction or mixed number. Give the answer in simplified form:

124           124 ÷ 4          31

a) 0.124 = --------- = ----------- = --------   (Ans.)

1000          1000 ÷ 4         250

05            905           905 ÷ 5         181

b) 9.05 =  9 -------- = --------- = ------------ = -------

100           100           100 ÷ 5          20

1

= 9 ------ (Ans.)

20