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Express 9.58 as a mixed number.

Express 99.5858 as a mixed number.

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Q. Express 99.5858 as a mixed number.
  1. Identify Whole and Decimal Parts: To express 9.589.58 as a mixed number, we first identify the whole number part and the decimal part. The whole number part is the number to the left of the decimal point, and the decimal part is the number to the right of the decimal point.
  2. Whole Number Part: The whole number part of 9.589.58 is 99. This will be the whole number in our mixed number.
  3. Convert Decimal to Fraction: The decimal part of 9.589.58 is .58.58. To convert this to a fraction, we recognize that .58.58 means 5858 hundredths, or 58100\frac{58}{100}.
  4. Simplify Fraction: We can simplify the fraction 58100\frac{58}{100} by finding the greatest common divisor (GCD) of 5858 and 100100. The GCD of 5858 and 100100 is 22.
  5. Combine Whole Number and Fraction: Divide both the numerator and the denominator by the GCD to simplify the fraction. 58÷2=2958 \div 2 = 29 and 100÷2=50100 \div 2 = 50. So, 58100\frac{58}{100} simplifies to 2950\frac{29}{50}.
  6. Combine Whole Number and Fraction: Divide both the numerator and the denominator by the GCD to simplify the fraction. 58÷2=2958 \div 2 = 29 and 100÷2=50100 \div 2 = 50. So, 58100\frac{58}{100} simplifies to 2950\frac{29}{50}.Combine the whole number part and the simplified fraction to form the mixed number. The mixed number is 99 and 2950\frac{29}{50}.