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December 18, 2015 12:19
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turning a repeating decimal into fraction
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class Numeric | |
def £(other_number) | |
RepeatingDecimal.new(self, other_number) | |
end | |
end | |
class RepeatingDecimal | |
attr_reader :repeating | |
def initialize(base, repeating) | |
@base = base | |
@repeating = repeating | |
@base_number = 0 | |
if @base.is_a? Float | |
@base_number = "#{@base}#{@repeating}".to_f | |
else | |
@base_number = "#{@base}.#{@repeating}".to_f | |
end | |
end | |
def *(number) | |
base_calculation = @base_number | |
if decimal_count == 1 | |
base_calculation = "#{@base_number}#{@repeating}".to_f | |
end | |
number = base_calculation * number | |
RepeatingDecimal.new(number, @repeating) | |
end | |
def -(number) | |
raise "Subtracts only for another RepeatingDecimal" unless number.is_a? RepeatingDecimal | |
raise "Unable to subtract from another base" if self.repeating != number.repeating | |
@base.to_i | |
end | |
def as_fraction | |
calculated_number = self * multiplier | |
calculated_number -= self | |
"#{calculated_number}/#{(multiplier-1)}" | |
end | |
def to_s | |
@base_number.to_s + "..." | |
end | |
protected | |
def multiplier | |
@multiplier ||= ("1" + ("0" * @repeating.to_s.size)).to_i | |
end | |
def decimal_count | |
@base_number.to_s.split('.').last.size.to_i | |
end | |
end | |
puts "Fraction of 0.44... = " + 0.£(4).as_fraction | |
puts "Fraction of 1.23999... = " + 1.23.£(9).as_fraction | |
puts "Fraction of 0.12398769876... = " + 0.123.£(9876).as_fraction |
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