Final answer:
Option A, which is 12 * (1/5) * (3/3) * (5/6), is the correct way to make a multiplication expression with the number 12 and the fractions 1/5, 3/3, and 5/6 by following the rules for multiplying fractions.
Step-by-step explanation:
To make a multiplication expression with the number 12 and the fractions 1/5, 3/3, and 5/6, we need to multiply them together. We follow the rule of multiplying the numerators together and multiplying the denominators together, simplifying by common factors as needed. Option A, which is 12 * (1/5) * (3/3) * (5/6), is the correct expression for multiplying these numbers.
The steps are as follows:
- Multiply the whole number by the first fraction: 12 * (1/5).
- Multiply the result by the next fraction: (12/5) * (3/3).
- Finally, multiply by the last fraction: (12/5) * (5/6).
Simplify the expression by multiplying the numerators together and the denominators together, and reduce the fraction if necessary.
We do not add the fractions together as in option B, nor do we divide by the product of the fractions as in option C, nor do we add the number to the fractions as in option D. Only the multiplication of all terms as described above results in the correct expression according to the rules for multiplying fractions.