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To solve the division problem, multiply by the reciprocal of the divisor.

(1)/(9)÷3=(1)/(9)×(1)/([?])

To solve the division problem, multiplyby the reciprocal of the divisor. $\newline$ $\frac{1}{9} \div 3=\frac{1}{9} \times \frac{1}{[?]}$

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Multiplication with rational exponents

Full solution

Q. To solve the division problem, multiplyby the reciprocal of the divisor.

\newline

\frac{1}{9} \div 3=\frac{1}{9} \times \frac{1}{[?]}

Understand the problem: Understand the problem. $\newline$ We need to divide the fraction $\frac{1}{9}$ by the number $3$ . Division by a number is the same as multiplication by its reciprocal.
Find the reciprocal: Find the reciprocal of the divisor. $\newline$ The divisor is $3$ , and the reciprocal of $3$ is $\frac{1}{3}$ .
Rewrite as multiplication: Rewrite the division as multiplication by the reciprocal. $\newline$ $(\frac{1}{9}) \div 3 = (\frac{1}{9}) \times (\frac{1}{3})$
Multiply numerators and denominators: Multiply the numerators and denominators. $\newline$ $(1 \times 1) / (9 \times 3) = 1 / 27$

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