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$10951168$ as a rational number in simplest form is ____.

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Detailed Solution

10951168

as a rational number in simplest form is

1516

.
Given is the fraction

\frac{1095}{1168}

.
Prime factorization of the numerator i.e., 1095 and the denominator i.e., 1168 in the given number:

10951168 = 3 × 5 × 73 2 × 2 × 2 × 2 × 73

Now as 73 is a common factor in the numerator and the denominator so it will be canceled out, and so we have,

10951168 = 3 × 5 2 × 2 × 2 × 2 10951168 = 1516

Therefore,

10951168

in its simplest form is

1516

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