Question
Divide. Express the quotient as a fraction in simplest form.
3
4
÷
9
=
4
3
÷ 9
Answers
GPT-4o mini
To divide \( \frac{3}{4} \) by \( 9 \), we can rewrite the division as multiplication by the reciprocal:
\[
\frac{3}{4} \div 9 = \frac{3}{4} \times \frac{1}{9}
\]
Now, we multiply the fractions:
\[
\frac{3 \times 1}{4 \times 9} = \frac{3}{36}
\]
Next, we simplify \( \frac{3}{36} \):
\[
\frac{3}{36} = \frac{1}{12}
\]
So, the quotient expressed as a fraction in simplest form is:
\[
\frac{1}{12}
\]
\[
\frac{3}{4} \div 9 = \frac{3}{4} \times \frac{1}{9}
\]
Now, we multiply the fractions:
\[
\frac{3 \times 1}{4 \times 9} = \frac{3}{36}
\]
Next, we simplify \( \frac{3}{36} \):
\[
\frac{3}{36} = \frac{1}{12}
\]
So, the quotient expressed as a fraction in simplest form is:
\[
\frac{1}{12}
\]