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
![(2.45*100)/(100)=(245)/(100)](https://img.qammunity.org/2023/formulas/mathematics/college/m4lo4buog1a7wuj0guub8jry1jlthjk8t1.png)
Simplify the fraction to the lowest terms
![(245)/(100)=(49)/(20)](https://img.qammunity.org/2023/formulas/mathematics/college/y3h86p2hxxlut4cs9ts1b95g8f1u3dpp10.png)
Remainder = 9
Quotient = 2
Divisor = 20
So, the mixed number is written as
![(49)/(20)=2(9)/(20)](https://img.qammunity.org/2023/formulas/mathematics/college/a8j2o2iy7emz6ysmzy5hb41kf594tj6fy0.png)
Therefore, 2.45 in mixed number is 2 9/20