How do you change 0.5625 into a fraction?
1 Answer
Since this decimal ends with
#0.5625 = 9/16#
Explanation:
Let's take this step by step to keep the arithmetic simple and avoid introducing unnecessary common factors...
#0.5625# ends in#5# , so multiply it by#2# :
#0.5625 xx 2 = 1.125# which ends in#5# , so multiply by#2# again:
#1.125 xx 2 = 2.25# which ends in#5# , so multiply by#2# again:
#2.25 xx 2 = 4.5# which ends in#5# , so multiply by#2# again:
#4.5 xx 2 = 9#
Having reached a whole number, notice that we have multiplied by
So:
#0.5625 = 9/(2^4) = 9/16#
In general, if a decimal ends with
Repeat until you get a whole number, then that is the numerator and the denominator is the product of the multipliers you used.
For example,
#0.24 stackrel(xx 5) -> 1.2 stackrel(xx 5) -> 6#
So