Identify Whole and Decimal Parts: To express 12.28 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 12. The decimal part is the number to the right of the decimal point, which is .28.
Express Decimal as Fraction: Next, we need to express the decimal part as a fraction. The decimal .28 means 28 hundredths, so we write it as the fraction 10028.
Simplify Fraction: Now, we simplify the fraction 10028 by finding the greatest common divisor (GCD) of 28 and 100. The GCD of 28 and 100 is 4.
Combine Whole and Fraction: We divide both the numerator and the denominator by the GCD to simplify the fraction. So, 28÷4=7 and 100÷4=25. This gives us the simplified fraction 257.
Combine Whole and Fraction: We divide both the numerator and the denominator by the GCD to simplify the fraction. So, 28÷4=7 and 100÷4=25. This gives us the simplified fraction 257.Finally, we combine the whole number part with the simplified fraction to express the mixed number. The mixed number is 12 and 257.
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