Final answer:
The correct multiplication equation to represent 15 divided by one-third is 15 × 3, as dividing by a fraction is equivalent to multiplying by the reciprocal of that fraction.
Step-by-step explanation:
The question is asking how to express the operation 15 divided by one-third (1/3) using multiplication equations. We know that dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of 1/3 is 3, so when we divide 15 by 1/3, we can also think of it as 15 multiplied by 3. Therefore, the correct equation that explains this operation is 15 × 3.
Looking at the options provided:
- a. 15 × 1/3 - This option is 15 multiplied by one-third, which would give us 5, not the outcome we are looking for.
- b. 15/ 1/3 - This is also not a multiplication equation but rather the original division problem in equation form.
- c. 15×3 - This is the correct multiplication equation equivalent to 15 divided by one-third.
- d. 15/3 - This equation is division, not multiplication, and divides 15 by 3, giving 5.
In conclusion, option c, 15×3, is the correct multiplication equation that represents the operation 15 divided by one-third.