QUESTION IMAGE
Question
convert improper fractions / mixed numbers
score: 0/5 penalty: 1 off
question
convert $5\frac{2}{3}$ into an improper fraction.
answer attempt 1 out of 2
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 \( \frac{a \times c + b}{c} \).
Step2: Apply the formula to \( 5\frac{2}{3} \). Here, \( a = 5 \), \( b = 2 \), and \( c = 3 \). First, calculate \( a \times c \): \( 5 \times 3 = 15 \). Then add \( b \): \( 15 + 2 = 17 \). So the improper fraction is \( \frac{17}{3} \).
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\(\frac{17}{3}\)