To convert the decimal number 23.55 into a mixed number, follow these steps:
- Separate the Whole Number: The whole number part of 23.55 is 23. This will be the whole number in your mixed number.
- Convert the Decimal Part: The decimal part is .55. To convert .55 into a fraction, follow these steps:
- Identify the Place Value: The decimal .55 is in the hundredths place, which means it can be expressed as:
- .55 = 55/100
- Simplify the Fraction: To simplify 55/100, find the greatest common divisor (GCD). The GCD of 55 and 100 is 5. Divide both the numerator and the denominator by 5:
- 55 ÷ 5 = 11
- 100 ÷ 5 = 20
- Thus, .55 = 11/20.
- Combine the Whole Number and the Fraction: Now that you have the whole number and the fractional part, combine them to get the mixed number:
- 23 + 11/20 = 23 11/20
In conclusion, 23.55 as a mixed number is 23 11/20.