Describe a situation that could be represented by the expression 3 divided by 2/3
how many 2/3 cup servings can be made using 3 cups of food?
The situation represented by the expression "3 divided by 2/3" can be described as dividing 3 units of something into portions that are 2/3 of a unit each.
For example, imagine you have a pizza that is divided into slices, and each slice represents 2/3 of the whole pizza. If you have 3 whole pizzas and you want to divide them into slices that are each 2/3 of a pizza, you would perform the calculation 3 ÷ 2/3.
To solve this expression, you can convert the division into multiplication by taking the reciprocal of the divisor (2/3), which is 3/2. So the expression becomes 3 x 3/2.
Next, you can simplify the calculation by multiplying the whole numbers (3 x 3 = 9) and the denominators (2 x 1 = 2), resulting in the final answer of 9/2 or 4.5.
In this situation, dividing 3 by 2/3 means that you can divide the 3 units into slices that are each 2/3 of a unit, and you would end up with a total of 4.5 slices.
The expression "3 divided by 2/3" represents a situation where you have 3 things that are being divided into equal parts, where each part is represented by the fraction 2/3.
To better understand this situation, let's break it down step by step:
First, we have 3 things. It could represent any physical objects, such as pieces of fruit, slices of pizza, or even time units.
Next, these 3 things are divided by the fraction 2/3. To divide by a fraction, we need to multiply by its reciprocal. The reciprocal of 2/3 is 3/2.
So, to divide 3 by 2/3, we multiply 3 by the reciprocal of 2/3, which gives us:
3 * (3/2) = 9/2
Therefore, the situation represented by the expression 3 divided by 2/3 is that we have 3 things that are being divided into parts, where each part is equal to 2/3. The result of this division is 9/2.