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Today i was arguing with my Math teacher on wether it is right or wrong to put equality between two different units.

For example, to say that :

1 Metre = 3.4 Foot (i am not sure of the number ... anyway !).

I personally see this is right, althought the two numbers are not the same, different units allow us to write equality between them, and from that we can derive that :

1=(3.4 Foot)/(1 Metre)

Which makes lot of sense when thinking why we multiply by 3.4 when converting metres to feet.

Since we are actually only multiplying by 1 (take the units in account), then it is right.

But my teacher sees that putting the equality sign is wrong.

What do u think ?