To convert the decimal 2.45 into a mixed number, follow these steps:
- Identify the whole number: The number 2.45 contains a whole number part, which is 2.
- Focus on the decimal part: The decimal part is 0.45.
- Convert the decimal part to a fraction: To convert 0.45 to a fraction, observe that 0.45 can be read as "45 hundredths." Hence, it can be written as:
- Simplify the fraction: Next, simplify 45/100. The numerator and denominator can both be divided by their greatest common divisor, which is 5:
- Combine the whole number and the fraction: Now, combine the whole number 2 with the fraction 9/20. Therefore, the mixed number is:
0.45 = 45⁄100
45 ÷ 5 = 9
100 ÷ 5 = 20
Thus, 0.45 = 9/20.
2 9/20
So, 2.45 as a mixed number is 2 9/20.