Question

convert this mixed number to an improper fraction. 3 8/9 enter the denominator: 35 ?

Explanation:

Step1: Recall the formula for converting a mixed number \( a\frac{b}{c} \) to an improper fraction. The formula is \( \frac{a\times c + b}{c} \), where \( a \) is the whole number, \( b \) is the numerator of the fractional part, and \( c \) is the denominator of the fractional part.

For the mixed number \( 3\frac{8}{9} \), \( a = 3 \), \( b = 8 \), and \( c = 9 \).

Step2: Apply the formula. First, calculate \( a\times c + b \): \( 3\times9 + 8 = 27 + 8 = 35 \). The denominator \( c \) remains the same as the denominator of the fractional part of the mixed number. So when converting \( 3\frac{8}{9} \) to an improper fraction, the denominator is 9.

Answer:

9