Questions: Change the following mixed number to an improper fraction. Reduce if possible. 5 1/27

Solution Steps

To convert a mixed number to an improper fraction, multiply the whole number by the denominator of the fractional part, then add the numerator of the fractional part. This sum becomes the numerator of the improper fraction, while the denominator remains the same. Finally, simplify the fraction if possible.

To convert the mixed number \(5 \frac{1}{27}\) to an improper fraction, we use the formula:

\[ \text{Improper Numerator} = (\text{Whole Number} \times \text{Denominator}) + \text{Numerator} \]

Substituting the given values:

\[ \text{Improper Numerator} = (5 \times 27) + 1 = 135 + 1 = 136 \]

Thus, the improper fraction is:

\[ \frac{136}{27} \]

The fraction \(\frac{136}{27}\) is already in its simplest form because the greatest common divisor of 136 and 27 is 1.

Final Answer