Question

Divide. Express the quotient as a fraction in simplest form.

​
3
4

÷

9

=
4
3
​
÷ 9 =


​Note: Use slash(/) to separate numerator and denominato

Answer 1

To divide \( \frac{3}{4} \) by 9, you can follow these steps:

1. Rewrite the division of a fraction by a whole number as a multiplication by the reciprocal of that whole number:

\[
\frac{3}{4} \div 9 = \frac{3}{4} \times \frac{1}{9}
\]

2. Multiply the numerators and the denominators:

\[
= \frac{3 \times 1}{4 \times 9} = \frac{3}{36}
\]

3. Simplify the fraction \( \frac{3}{36} \) by finding the greatest common divisor (GCD) of the numerator and the denominator, which is 3:

\[
= \frac{3 \div 3}{36 \div 3} = \frac{1}{12}
\]

So, the quotient expressed as a fraction in simplest form is:

\[
\frac{1}{12}
\]

In terms of the format you requested, this is expressed as:

1/12