Question

A gardener uses 1/3 of a liter of water to water 2/7 of a garden. Watering the entire garden at this rate will require _____ liters of water.

Answer 1

`1(1)/(6)` liter of water is needed to watering the entire garden at the given rate.

Explanation:

Given : A gardener uses
`(1)/(3)` of a liter of water to watering
`(2)/(7)` of a garden.

Consider 1 Liter = 1 unit.

Hence,
`(1)/(3)` of a liter =
`(1)/(3)`

We need to find how many liters of water is needed to watering the entire garden at this rate.

Let the total garden be x parts then,

`(2)/(7)x=(1)/(3) * 1`

`(2)/(7)x=(1)/(3)`

Dividing both side by
`(2)/(7)` , we get,

`x=(1)/(3) / (2)/(7)`

Applying
`a/ b=a* (1)/(b)` , we get,

`x=(1)/(3) * (7)/(2)`

`x=(7)/(6)`

Rewriting improper fraction into mixed fraction, we get,

`x=1(1)/(6)`

Thus,
`1(1)/(6)` liter of water is needed to watering the entire garden at the given rate.

Answer 2

1 1/6 liters
1/3 x 3 =1 liter and 6/7 of the garden watered divide 1/3 by two to get 1/7 of the garden t. add together to get 7/7