Multiply or divide as indicated. Write answers in lowest terms as needed. (3/4)/12

Verified step by step guidance

1. Convert the division of a fraction by a whole number into a multiplication problem by taking the reciprocal of the whole number.
2. The reciprocal of 12 is $\frac{1}{12}$.
3. Rewrite the expression $\frac{3}{4}÷12$ as $\frac{3}{4}\times \frac{1}{12}$.
4. Multiply the numerators: $3\times 1$.
5. Multiply the denominators: $4\times 12$.

Key Concepts

Fraction Division

Dividing fractions involves multiplying by the reciprocal of the divisor. In this case, to divide (3/4) by 12, you can rewrite 12 as a fraction (12/1) and then multiply (3/4) by the reciprocal of (12/1), which is (1/12). This process simplifies the operation and allows for easier calculation.

Lowest Terms

Writing a fraction in lowest terms means simplifying it so that the numerator and denominator have no common factors other than 1. This is achieved by dividing both the numerator and denominator by their greatest common divisor (GCD). For example, if the result of a division yields a fraction like 3/48, it can be simplified to 1/16.

Multiplying Fractions

When multiplying fractions, you multiply the numerators together and the denominators together. For instance, if you multiply (3/4) by (1/12), you calculate (3 * 1) for the numerator and (4 * 12) for the denominator, resulting in a new fraction. This method is essential for both multiplication and division of fractions.