What is the quotient of 3/7÷9? Simplify your answer if possible.

1 answer

To find the quotient of \( \frac{3}{7} \div 9 \), we can rewrite the division as multiplication by the reciprocal:

\[ \frac{3}{7} \div 9 = \frac{3}{7} \times \frac{1}{9} \]

Now, we multiply the fractions:

\[ \frac{3 \times 1}{7 \times 9} = \frac{3}{63} \]

Next, we simplify \( \frac{3}{63} \). We can do this by finding the greatest common divisor (GCD) of 3 and 63, which is 3.

Now, we divide the numerator and the denominator by their GCD:

\[ \frac{3 \div 3}{63 \div 3} = \frac{1}{21} \]

Thus, the simplified quotient of \( \frac{3}{7} \div 9 \) is

\[ \boxed{\frac{1}{21}}. \]

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