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Chapter 5: Problem 4

Reduce each rational number to its lowest terms. \(\frac{16}{64}\)

Short Answer

Expert verified
The fraction \(\frac{16}{64}\) in its simplest form is \(\frac{1}{4}\).

Step by step solution

01

Identify GCD

First, find the greatest common divisor (GCD) of the numerator 16 and denominator 64. The GCD is the greatest number that can exactly divide both numbers. In this case, the GCD is 16.
02

Simplify the fraction

Next, divide both the numerator and the denominator by the GCD. This gives \(\frac{16}{16} / \frac{64}{16} = \frac{1}{4}\).
03

Check if possible to simplify further

Finally, ensure that the fraction cannot be simplified any further. In this case, there is no number (other than 1) that can exactly divide both 1 and 4. Therefore, the fraction is already in its simplest or lowest terms.

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