Identify Whole and Decimal Parts: To express 9.58 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.
Whole Number Part: The whole number part of 9.58 is 9. This will be the whole number in our mixed number.
Convert Decimal to Fraction: The decimal part of 9.58 is .58. To convert this to a fraction, we recognize that .58 means 58 hundredths, or 10058.
Simplify Fraction: We can simplify the fraction 10058 by finding the greatest common divisor (GCD) of 58 and 100. The GCD of 58 and 100 is 2.
Combine Whole Number and Fraction: Divide both the numerator and the denominator by the GCD to simplify the fraction. 58÷2=29 and 100÷2=50. So, 10058 simplifies to 5029.
Combine Whole Number and Fraction: Divide both the numerator and the denominator by the GCD to simplify the fraction. 58÷2=29 and 100÷2=50. So, 10058 simplifies to 5029.Combine the whole number part and the simplified fraction to form the mixed number. The mixed number is 9 and 5029.
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