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$368496$ as a rational number in simplest form is ____.

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Detailed Solution

368496

as a rational number in simplest form is

2331

.
Given is the fraction

\frac{368}{496}

.
Prime factorization of the numerator i.e., 368 and the denominator i.e., 496 in the given number:

368496 = 2 × 2 × 2 × 2 × 23 2 × 2 × 2 × 2 × 31 368496 = 16 × 23 16 × 31

Now as 16 is a common factor in the numerator and the denominator so it will be canceled out, and so we have,

368496 = 2331

Therefore,

368496

in its simplest form is

2331

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