How do you express #84/162# in decimal to #3# decimal places ?
1 Answer
Mar 29, 2017
Explanation:
First find the greatest common factor (GCF) of
We can find the GCF of two numbers as follows:
-
Divide the larger number by the smaller to give a quotient and remainder.
-
If the remainder is
#0# then the smaller number is the GCF. -
Otherwise repeat with the smaller number and the remainder.
So in our example:
#162/84 = 1" "# with remainder#78#
#84/78 = 1" "# with remainder#6#
#78/6 = 13" "# with remainder#0#
So the GCF of
So:
#84/162 = (84-:6)/(162-:6) = 14/27#
which is in lowest terms.
Note that
Hence:
#1/27 = 37/999 = 0.bar(037)#
and:
#14/27 = (14*37)/999 = 518/999 = 0.bar(518)#
Rounded to
#14/27 ~~ 0.519#
since the digit after