We are given the decimal number 2.45
Let us first convert the decimal number to a fraction
Since there are two numbers after the decimal, multiply and divide it by 100
[tex]\frac{2.45\times100}{100}=\frac{245}{100}[/tex]Simplify the fraction to the lowest terms
[tex]\frac{245}{100}=\frac{49}{20}[/tex]Remainder = 9
Quotient = 2
Divisor = 20
So, the mixed number is written as
[tex]\frac{49}{20}=2\frac{9}{20}[/tex]Therefore, 2.45 in mixed number is 2 9/20