Final answer:
Considering the model 5/6, it would be most useful in solving the expression 5/6 ÷ 1/6, as it directly applies to finding how many times one fraction is contained within another.
Therefore, the correct answer is: option B). 5/6 ÷ 1/6
Step-by-step explanation:
To determine which expression the model of 5/6 would be most helpful in solving, we can examine the options given.
Let's consider them one by one:
- 1/6 ÷ 5/6: Here, we are looking to divide a fraction by another fraction.
This is akin to multiplying the first fraction by the reciprocal of the second fraction.
Since the model we have is 5/6, it doesn't directly represent the reciprocal of 5/6, so it's not the most helpful.
- 5/6 ÷ 1/6: For this expression, we are dividing two fractions.
The model of 5/6 can be used directly here because we can multiply 5/6 by the reciprocal of 1/6, which is 6.
In essence, we would be asking, "How many 1/6s are in 5/6?" which the model can help illustrate.
- 6 ÷ 1/6: This expression is asking how many 1/6s there are in a whole number, 6.
While understanding fractions helps to solve this, the model of 5/6 itself does not directly apply to solving this problem, as the operation involves a whole number and a fraction.
- Therefore, the model of 5/6 would be most helpful in solving the expression 5/6 ÷ 1/6.