Answer: 10/3 liters
Explanation:
To find out how much water is necessary to water all the plants in the house, you can set up a proportion based on the given information.
Let "W" represent the amount of water necessary to water all the plants in the house (in liters).
We are given that 4/3 liters of water are enough to water 2/5 of the plants. So, you can set up a proportion:
(4/3 liters) / (2/5 of the plants) = W / (all the plants)
Now, let's set up the proportion:
(4/3) / (2/5) = W / 1
To solve for "W," multiply both sides of the equation by 1 (which doesn't change anything):
(4/3) / (2/5) = W
Now, to simplify this, you can multiply the left side by the reciprocal of the denominator:
(4/3) * (5/2) = W
Now, multiply the fractions:
(4 * 5) / (3 * 2) = W
(20/6) = W
Now, simplify the fraction:
(10/3) = W
So, it would take 10/3 liters of water to water all the plants in the house.
You can also express this as a multiplication equation and a division equation:
Multiplication Equation: 4/3 liters * (5/2) = 10/3 liters
Division Equation: (4/3 liters) ÷ (2/5) = 10/3 liters