Ann bought 5/8kg of tomatoes to make a salad dish.2/5 of the tomatoes were rotten and the rest were fresh.What was the mass of fresh tomatoes.
2/5 rotten means 3/5 fresh
3/5 * 5/8 = 3/8 kg
1 whole - 2/5 or 5/5 - 2/5 = 3/5
3/5 of 5/8 = 3/5 x 5/8 = 3/1 x 1/8 = 3/8
----------------------------------------whole explanation--------------------------------------
To find the mass of the fresh tomatoes, we first need to determine how many tomatoes were fresh and how many were rotten.
Given that Ann bought 5/8 kg of tomatoes, we know the total mass of tomatoes.
Next, we need to find out how many tomatoes were rotten. The problem states that 2/5 of the tomatoes were rotten. To find this value, we multiply 5/8 (total tomatoes) by 2/5 (proportion of rotten tomatoes):
(5/8) * (2/5) = 10/40 = 1/4
So, 1/4 of the tomatoes were rotten.
To find the mass of the fresh tomatoes, we subtract the mass of the rotten tomatoes from the total mass:
Total mass - Mass of rotten tomatoes = Mass of fresh tomatoes
We can convert the fractions to decimals to make the calculation easier:
5/8 kg - 1/4 kg = (5/8) kg - (2/8) kg = 3/8 kg
Therefore, the mass of the fresh tomatoes is 3/8 kg.