Questions: Write 3 1/6 as an improper fraction.

Solution Steps

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

To convert the mixed number \(3 \frac{1}{6}\) to an improper fraction, first express the whole number 3 as a fraction with the same denominator as the fractional part. This gives us:

\[ 3 = \frac{3 \times 6}{6} = \frac{18}{6} \]

Next, add the fractional part \(\frac{1}{6}\) to the fraction obtained from the whole number:

\[ \frac{18}{6} + \frac{1}{6} = \frac{18 + 1}{6} = \frac{19}{6} \]

Final Answer