Question

1. change the mixed number to an improper fraction. *

3\frac{4}{9}
your answer

1. change the mixed number to an improper fraction. *

5\frac{2}{5}
your answer

Explanation:

Question 8

Step1: Multiply whole and denominator

To convert a mixed number \( a\frac{b}{c} \) to an improper fraction, we use the formula \( \frac{a\times c + b}{c} \). For \( 3\frac{4}{9} \), \( a = 3 \), \( b = 4 \), \( c = 9 \). First, calculate \( 3\times9 \).
\( 3\times9 = 27 \)

Step2: Add numerator

Then add the numerator \( 4 \) to the result.
\( 27 + 4 = 31 \)

Step3: Form improper fraction

The improper fraction is \( \frac{31}{9} \) (since the denominator remains \( 9 \)).

Step1: Multiply whole and denominator

For the mixed number \( 5\frac{2}{5} \), using the formula \( \frac{a\times c + b}{c} \) where \( a = 5 \), \( b = 2 \), \( c = 5 \). First, calculate \( 5\times5 \).
\( 5\times5 = 25 \)

Step2: Add numerator

Add the numerator \( 2 \) to the result.
\( 25 + 2 = 27 \)

Step3: Form improper fraction

The improper fraction is \( \frac{27}{5} \) (denominator remains \( 5 \)).

Answer:

\( \frac{31}{9} \)

Question 9