Question

write $1\frac{1}{6}$ as an improper fraction.

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.

Step2: Identify the values of \( a \), \( b \), and \( c \) for the given mixed number \( 1\frac{1}{6} \).

Here, \( a = 1 \), \( b = 1 \), and \( c = 6 \).

Step3: Apply the formula.

Substitute the values into the formula: \( \frac{1\times 6 + 1}{6} \).
First, calculate the numerator: \( 1\times 6 + 1 = 6 + 1 = 7 \).
The denominator remains \( 6 \). So the improper fraction is \( \frac{7}{6} \).

Answer:

\( \frac{7}{6} \)