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Express 12.28 as a mixed number.

Express 1212.2828 as a mixed number.

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Q. Express 1212.2828 as a mixed number.
  1. Identify Whole and Decimal Parts: To express 12.2812.28 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, which is 1212. The decimal part is the number to the right of the decimal point, which is .28.28.
  2. Express Decimal as Fraction: Next, we need to express the decimal part as a fraction. The decimal .28.28 means 2828 hundredths, so we write it as the fraction 28100\frac{28}{100}.
  3. Simplify Fraction: Now, we simplify the fraction 28100\frac{28}{100} by finding the greatest common divisor (GCD) of 2828 and 100100. The GCD of 2828 and 100100 is 44.
  4. Combine Whole and Fraction: We divide both the numerator and the denominator by the GCD to simplify the fraction. So, 28÷4=728 \div 4 = 7 and 100÷4=25100 \div 4 = 25. This gives us the simplified fraction 725\frac{7}{25}.
  5. Combine Whole and Fraction: We divide both the numerator and the denominator by the GCD to simplify the fraction. So, 28÷4=728 \div 4 = 7 and 100÷4=25100 \div 4 = 25. This gives us the simplified fraction 725\frac{7}{25}.Finally, we combine the whole number part with the simplified fraction to express the mixed number. The mixed number is 1212 and 725\frac{7}{25}.