[Python] Python - cartesian product for BOTH keys and values of a dictionary? [MWE provided]

I need to get the Cartesian product of a dictionary {str: Fraction} with itself, but currently need to "loop" through the dict twice, once for the keys and once for the values.

The difference is that a tuple output works well for the keys, but for the values I actually need the regular math product.

How can I do better? Keen to stick to the standard library if possible.

import itertools as it
import math as mt
from fractions import Fraction as fr

dl = {
'P1': fr(7, 120), 'P2': fr(20, 120), 'P3': fr(6, 120),
'P4': fr(10, 120), 'P6': fr(7, 120), 'P6': fr(18, 120),
'P7': fr(16, 120), 'P8': fr(19, 120), 'P9': fr(17, 120)
}
rp = 2
iter_args = list(it.product(dl, repeat = rp))
iter_vals = list(map(mt.prod, it.product(dl.values(), repeat = rp)))

# Desired output
print({iter_keys: iter_vals for i in range(len(iter_vals))})


Thank you!

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