CHANGING FRACTIONS TO DECIMALS
. Fractions can
a decimal by dividing the numerator by the denominator.
a. four hundred four
The steps for changing a fraction into a decimal form are:
and four hundred
(1) Write a division problem in which the numerator is divided by
Note: "And" can mean
"decimal" or "plus." If you
(2) Place a decimal point to the right of the numerator.
said "four hundred and four
and four hundred and four
(3) Add zeros to the right of the decimal point, as needed.
thousandths," you would
really be saying
(4) Place a decimal point in the quotient DIRECTLY OVER the
400 + 4 + 400.004.
decimal point in the division bracket.
(5) Divide as normal (see Frames 1-20 through 1-24).
(6) Continue dividing until your remainder is zero or until you
have reached the needed level of accuracy. [Some
problems, such as 2/3, never have a remainder of zero. You
have already run across one such problem in Frame 1-24.]
Change 7/8 to a decimal.
Let's try a couple more problems. Carry out your division though four
places to the right of the decimal (no further than the ten-thousandths
8 / 7.000
a. Change 1/12 to a decimal.
b. Change 8/900 to a decimal.
NOTE: If a digit in the quotient is zero and it is TO THE RIGHT OF THE
DECIMAL POINT, the zero must be written in the quotient.