To find out the fraction of dishes cooked by rooms 102 and 104, we need to add the fractions of dishes cooked by each room.
For room 102: 3/10
For room 104: 1/5
Now, add these fractions together:
3/10 + 1/5
To add these fractions, you need to find a common denominator, which in this case is 10. So, you can rewrite 1/5 as an equivalent fraction with a denominator of 10:
1/5 = 2/10
Now, you can add the fractions:
3/10 + 2/10 = 5/10
To simplify this fraction further, you can divide both the numerator and denominator by their greatest common factor, which is 5:
(5/10) ÷ 5/5 = (5/10) ÷ 1 = 5/10 = 1/2
So, the fraction of dishes cooked by rooms 102 and 104 combined is 1/2.