How do you write #3/7# as a decimal?
2 Answers
Explanation:
Long divide
Long divide until the remainder repeats. In this case we find the remainder
This show us that the pattern
#3/7 = 0.bar(428571)#
or with dots:
#3/7 = 0.dot(4)2857dot(1)#
Explanation:
The sevenths' decimals have an interesting property: they repeat with the same numbers, in the same order.
The decimals of any fraction with denominator
#1,4,2,8,5,7#
For example,
#1/7=0. color(red)(142857)color(green)(142857)color(blue)(142857)...=0.bar(152857)#
#2/7=0. color(red)(285714)color(green)(285714)color(blue)(285714)...=0.bar(285714)#
#3/7=0. color(red)428571color(green)428571color(blue)425871 ... = 0.bar(428571)#
The series continues:
#4/7=0.bar571428#
#5/7=0.bar714285#
#6/7=0.bar857142#