Divide. 1 1/6 ÷ 7/9 = _____

Convert to Improper Fraction: Convert 1 1/6 to an improper fraction. 1 1/6 = 1 + 1/6 = (6/6 + 1/6) = 7/6 Use Reciprocal for Multiplication: Rewrite the division problem as a multiplication problem using the reciprocal of the divisor. 1 1/6 ÷ 7/9 = 7/6 ÷ 7/9 = 7/6 × 9/7 Multiply Numerators and Denominators: Multiply the numerators and the denominators. (7 × 9) / (6 × 7) = 63 / 42 Simplify the Fraction: Simplify the fraction. 63 / 42 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 21. 63 ÷ 21 = 3, 42 ÷ 21 = 2, so 63 / 42 = 3/2

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Divide. $\newline$ $1\frac{1}{6} \div \frac{7}{9} =$ _____

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Q. Divide.

\newline

1\frac{1}{6} \div \frac{7}{9} =

_____

Convert to Improper Fraction: Convert $1\frac{1}{6}$ to an improper fraction. $\newline$ $1\frac{1}{6} = 1 + \frac{1}{6} = \left(\frac{6}{6} + \frac{1}{6}\right) = \frac{7}{6}$
Use Reciprocal for Multiplication: Rewrite the division problem as a multiplication problem using the reciprocal of the divisor. $\newline$ $1 \frac{1}{6} \div \frac{7}{9} = \frac{7}{6} \div \frac{7}{9} = \frac{7}{6} \times \frac{9}{7}$
Multiply Numerators and Denominators: Multiply the numerators and the denominators. $\newline$ $(7 \times 9) / (6 \times 7) = 63 / 42$
Simplify the Fraction: Simplify the fraction. $\newline$ $\frac{63}{42}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $21$ . $\newline$ $63 \div 21 = 3$ , $42 \div 21 = 2$ , so $\frac{63}{42} = \frac{3}{2}$