62.5 ÷ 10 = 6.25
62.5 ÷ 100 = .625
62.5 ÷ 1000 = .0625
Expression of decimal fractions as common fractions.
EXAMPLE: Express 5.375 as a common fraction.
.375 = 375 thousandths.
375 3
Therefore 5.375 = 5---- = 5- _Ans._
1000 8
RULE.--_Take the digits of the decimal for numerator; for the
denominator put down 1 followed by as many ciphers as there are digits
in the decimal. Reduce this fraction to its lowest terms._
Expression of common fractions as decimals.
We have seen that a common fraction represents the quotient of the
numerator divided by the denominator. Therefore, to convert a common
fraction to a decimal fraction, we divide the numerator by the
denominator.
EXAMPLE: Express 3/32 as a decimal.
4) 3.0
---------
8) .75
---------
.09375 _Ans._
It will be found in many cases that there is always a remainder, so that
the quotient can be continued indefinitely.