Write a 5 digit number so that when you round to the nearest hundredth, your answer is 14.6. The number cannot include any zeros.

14.601 or 14.602. or 14.603 or 14.604

Step-by-step explanation:  

We are given that a five digit number and when you round to the nearest hundredth  then the answer is 14.6  

We have to write that number  

First two digits of the number will be same as in 14.6  

If a number round to nearest  hundredth then it means its tenth place is 6 and hundredth place is 0  

The last digit can be any number but less than 5 because if last digit is greater than or equal to 5 then one will be added to hundredth place value but we have hundredth place 0 it means thousandth place will be less than 5.  

Then the number  can be    

14.601 or 14.602. or 14.603 or 14.604

36/60

36/2=18

60/2=30

18/30

18/3=6

30/3=10

6/10

6/2=3

10/2=5

your final answer would be 3/5 of an

hope this !