Question

A full tub of water weighed `2 2/7` pounds. If the tub were filled up only `1/4` full, how much would it weigh?

Answer 1

The `1/4^"th"` full tub weighs `4/7` pounds.

Explanation:

`2 2/7` can be revised to a single fraction. Watch this.

`2 = 14/7`, therefore `2 2/7 " is the same as " 14/7 + 2/7`

Combining that `14/7 + 2/7` into a single fraction, we find that the full tub of water weighed `16/7` pounds.

So now, finding `1/4^"th" * 2 2/7` was our original task, but now we find that `1/4^"th" * 16/7` is equivalent.

We can cancel the 4 into the 16, so we now see that the `1/4^"th"` full tub weighs `4/7` pounds.

I hope this helps,
Steve