Answer: Theo's scarf is 173 + 1/3 centimeters long.
Step-by-step explanation:
The scarf of Leah is 130 centimeters long.
The one of Theo is 4/3 as long as the one of Leah, then we have that the length of the scarf of Theo is:
Lenght = (4/3)*130 cm =(4*130)/3 cm =520/3 cm
Now, we know that if all the digits of a number add up to a multiple of 3, that number is divisible by 3.
520/3 = (519 + 1)/3 = 519/3 + 1/3 = 173 + 1/3
Theo's scarf is 173 + 1/3 centimeters long.