Identify Decimal Place Value: Identify the place value of the last digit in the decimal. 0.2826 has four decimal places, so the last digit is in the ten-thousandths place.
Write Decimal as Fraction: Write the decimal as a fraction with the last digit in the numerator and the corresponding place value as the denominator. 0.2826 can be written as 100002826 because the last digit is in the ten-thousandths place.
Find Greatest Common Divisor: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.The GCD of 2826 and 10000 is 2.
Simplify Fraction: Divide both the numerator and the denominator by the GCD to simplify the fraction.2826÷2=141310000÷2=5000So, 0.2826 as a simplified fraction is 50001413.
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