Question

convert improper fractions / mixed numbers
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question
convert $1\frac{2}{7}$ into an improper fraction.

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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 \( \frac{a\times c + b}{c} \).

Here, \( a = 1 \), \( b = 2 \), and \( c = 7 \).

Step2: Apply the formula. Calculate \( a\times c + b \): \( 1\times7 + 2 = 7 + 2 = 9 \). The denominator remains \( c = 7 \). So the improper fraction is \( \frac{9}{7} \).

Answer:

\(\frac{9}{7}\)