Questions: Convert (3 frac59) to an improper fraction. Enter your answer as a fraction. (3 frac59=) (Simplify your answer.)

Solution Steps

To convert a mixed number to an improper fraction, multiply the whole number by the denominator of the fractional part, add the numerator of the fractional part to this product, and place the result over the original denominator.

To convert the mixed number \(3 \frac{5}{9}\) to an improper fraction, start by converting the whole number 3 into a fraction with the same denominator as the fractional part. This gives us:

\[ 3 = \frac{3 \times 9}{9} = \frac{27}{9} \]

Next, add the fraction \(\frac{27}{9}\) to the fractional part \(\frac{5}{9}\):

\[ \frac{27}{9} + \frac{5}{9} = \frac{27 + 5}{9} = \frac{32}{9} \]

Final Answer