If the random variable F has an F distribution with m and n degrees of freedom, show

Question:

If the random variable F has an F distribution with m and n degrees of freedom, show that 1/F has an F distribution with n and m degrees of freedom.

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...