Divide. 14/53 Enter your answer as a mixed number in simplest form.

Answer 1

To divide \( 14 \) by \( 53 \) and express the result as a mixed number, we can start by performing the division.

Calculating \( 14 \div 53 \):

1. Since \( 14 \) is less than \( 53 \), the result will be a fraction, not a whole number.

2. We can express this as: \[ \frac{14}{53} \]

3. Now, in order to convert this fraction into a mixed number, we need to check if it can be simplified. The greatest common divisor (GCD) of \( 14 \) and \( 53 \) is \( 1 \) since \( 53 \) is a prime number and does not divide \( 14 \).

4. Since the fraction \( \frac{14}{53} \) is already in its simplest form, we note that as a mixed number, it does not contain a whole number part because \( 14 < 53 \).

Thus, the answer as a mixed number in simplest form is: \[ \frac{14}{53} \]

If you specifically need a mixed number form, it would be represented simply as: \[ 0 \frac{14}{53} \] However, it's common to just write the improper fraction \( \frac{14}{53} \) in this case since there's no whole number part.