Question

A mug is 1/8 full. The mug contains 1/6 of a cup of water. Find the capacity of the mug. Write the answer as a fration or mixed number

Answer 1

The capacity of the mug =
`1(1)/(3)` cups

Explanation:

Given - A mug is 1/8 full. The mug contains 1/6 of a cup of water.

To find - Find the capacity of the mug. Write the answer as a fraction or mixed number

Proof -

Let the capacity of water = x

Given that,

A mug is
`(1)/(8)` full of water

⇒Total cups of water in the mug =
`(1)/(8) x`

Now,

Given that, The mug contains
`(1)/(6)` of a cup of water.

∴ we get

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

⇒x =
`(1)/(6)` × 8

=
`(8)/(6)`

=
`(4)/(3)` =
`1(1)/(3)`

⇒x =
`1(1)/(3)`

∴ we get

The capacity of the mug =
`1(1)/(3)` cups