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Express 0.8342 as a fraction.

Express 00.83428342 as a fraction.

Full solution

Q. Express 00.83428342 as a fraction.
  1. Identify Decimal Places: To express the decimal 0.83420.8342 as a fraction, we first identify how many decimal places there are to determine the denominator. There are four decimal places, so the denominator will be 10,00010,000. \newline0.8342=834210,0000.8342 = \frac{8342}{10,000}
  2. Simplify Fraction with GCD: Next, we simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator and then dividing both by that number. The GCD of 83428342 and 10,00010,000 is 22. \newline8342÷2=41718342 \div 2 = 4171\newline10,000÷2=500010,000 \div 2 = 5000
  3. Final Simplified Fraction: After simplifying, we get the fraction 41715000\frac{4171}{5000}, which cannot be simplified further as there is no common divisor greater than 11 for 41714171 and 50005000.