Divide. 1 2/7 ÷ 9/10 = _____

Convert to Improper Fraction: Convert the mixed number 1 2/7 to an improper fraction. 1 2/7 = (7*1 + 2)/7 = 9/7Use Reciprocal for Multiplication: Rewrite the division problem as a multiplication problem using the reciprocal of the divisor. 9/7 ÷ 9/10 = 9/7 × 10/9Multiply Numerators and Denominators: Multiply the numerators and the denominators. (9 × 10)/(7 × 9) = 90/63Simplify Fraction: Simplify the fraction 90/63 by finding the greatest common divisor (GCD), which is 9. 90/63 = (90 ÷ 9)/(63 ÷ 9) = 10/7

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Divide. $\newline$ $1\frac{2}{7}$ $\div$ $\frac{9}{10}$ = _____

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Q. Divide.

\newline

1\frac{2}{7}

\div

\frac{9}{10}

= _____

Convert to Improper Fraction: Convert the mixed number $1 \frac{2}{7}$ to an improper fraction. $\newline$ $1 \frac{2}{7} = \frac{(7\times1 + 2)}{7} = \frac{9}{7}$
Use Reciprocal for Multiplication: Rewrite the division problem as a multiplication problem using the reciprocal of the divisor. $\newline$ $\frac{9}{7} \div \frac{9}{10} = \frac{9}{7} \times \frac{10}{9}$
Multiply Numerators and Denominators: Multiply the numerators and the denominators. $\newline$ $(9 \times 10)/(7 \times 9) = 90/63$
Simplify Fraction: Simplify the fraction $\frac{90}{63}$ by finding the greatest common divisor (GCD), which is $9$ . $\newline$ $\frac{90}{63} = \left(\frac{90 \div 9}{63 \div 9}\right) = \frac{10}{7}$