Reduce \(\frac{128352}{238368}\) to its lowest terms. Options: A . &nbsp \(\frac{3}{4}\) B . &nbsp \(\frac{5}{13}\) C . &nbsp \(\frac{7}{13}\) D . &nbsp \(\frac{9}{13}\)

Reduce \(\frac{128352}{238368}\) to its lowest terms.

Question

Reduce \(\frac{128352}{238368}\) to its lowest terms.

Options:

A . \(\frac{3}{4}\)

B . \(\frac{5}{13}\)

C . \(\frac{7}{13}\)

D . \(\frac{9}{13}\)

Answer: Option C

128352) 238368 ( 1

128352
---------------
110016 ) 128352 ( 1
110016
------------------
18336 ) 110016 ( 6
110016
-------
x
-------
So, H.C.F. of 128352 and 238368 = 18336.
128352 128352 ÷ 18336 7
Therefore, ------ = -------------- = --
238368 238368 ÷ 18336 13

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