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Convert the decimal below to a fraction in simplest form. 0.126 Answer:

Convert the decimal below to a fraction in simplest form.\newline0.126 0.126 \newlineAnswer:

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Full solution

Q. Convert the decimal below to a fraction in simplest form.\newline0.126 0.126 \newlineAnswer:
  1. Write Decimal as Fraction: Write the decimal as a fraction with a denominator that reflects its place value.\newlineSince 0.1260.126 has three decimal places, it can be written as a fraction over 10001000.\newline0.126=12610000.126 = \frac{126}{1000}
  2. Find Greatest Common Divisor: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.\newlineThe GCD of 126126 and 10001000 is 22.
  3. Simplify Fraction: Divide both the numerator and the denominator by the GCD to simplify the fraction.\newline126÷2=63126 \div 2 = 63\newline1000÷2=5001000 \div 2 = 500\newlineSo, 1261000\frac{126}{1000} simplifies to 63500\frac{63}{500}.

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