Question

question
convert $1\frac{2}{3}$ into an improper fraction.

answer attempt 1 out of 2

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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, \( a = 1 \), \( b = 2 \), and \( c = 3 \).

Step2: Apply the formula. Calculate \( a\times c + b \): \( 1\times3 + 2 = 3 + 2 = 5 \). The denominator remains \( c = 3 \). So the improper fraction is \( \frac{5}{3} \).

Answer:

\(\frac{5}{3}\)