Solve and simplify:

3/12 divided by 1/3

Group of answer choices

3/12

1/12

3/4

9/12

1 answer

To solve \( \frac{3}{12} \div \frac{1}{3} \), we can rewrite the division of fractions as multiplying by the reciprocal of the second fraction:

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

Next, we multiply the fractions:

\[ \frac{3 \times 3}{12 \times 1} = \frac{9}{12} \]

Now, we simplify \( \frac{9}{12} \):

To simplify, we can divide the numerator and the denominator by their greatest common divisor (GCD), which is 3:

\[ \frac{9 \div 3}{12 \div 3} = \frac{3}{4} \]

So, the simplified result is \( \frac{3}{4} \).

The answer choice is:

3/4

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