Why is dividing by a fraction the same as multiplying by the reciprocal? (TANTON Mathematics) @DrJamesTanton

$Why is dividing by a fraction the same as multiplying by the reciprocal? (TANTON Mathematics) @DrJamesTanton$

Uploaded January 2010 | Updated September 2026, 3 weeks ago

Is it at all obvious that dividing by 4/7 is the same as multiplying by 7/4? We are all told to do this. Is it true? Let's find out!

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