Question

convert improper fractions / mixed numbers
score: 2/5 penalty: 1 off
question
convert $5\frac{3}{5}$ into an improper fraction.
answer attempt 1 out of 2

Explanation:

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

Here, \( a = 5 \), \( b = 3 \), and \( c = 5 \).

Step2: Apply the formula. First, calculate \( a \times c \): \( 5 \times 5 = 25 \). Then add \( b \) to this result: \( 25 + 3 = 28 \). The denominator remains \( c = 5 \). So the improper fraction is \( \frac{28}{5} \).

Answer:

\(\frac{28}{5}\)