how many 3/4-cup servings are in 1/2 of a cup of milk? Write your answer in simplest form..... .....

1/2 ÷ 3/4 = 1/2 * 4/2 = 2/3

makes sense, since
1/2 = 4/8
3/4 = 6/8
and 4 is 2/3 of 6

To find out how many 3/4-cup servings are in 1/2 cup of milk, we need to divide the quantity of milk (1/2 cup) by the size of each serving (3/4 cup).

To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. In this case, we can multiply 1/2 by the reciprocal of 3/4, which is 4/3.

So, let's calculate it:

1/2 * (4/3)

To multiply fractions, we simply multiply the numerators together and the denominators together. This gives us:

(1 * 4) / (2 * 3) = 4/6

Now, we want to simplify the fraction to its simplest form. Both 4 and 6 are divisible by 2, so let's divide them both:

4/2 = 2
6/2 = 3

Therefore, the fraction 4/6 can be simplified to 2/3.

Hence, there are 2/3-cup servings in 1/2 cup of milk.

To find the number of 3/4-cup servings in 1/2 cup of milk, we need to divide 1/2 by 3/4.

To divide fractions, we multiply the first fraction (1/2) by the reciprocal of the second fraction (3/4). The reciprocal of 3/4 is 4/3.

So, to find the answer, we multiply 1/2 by 4/3:

(1/2) * (4/3) = 4/6

Simplifying the fraction 4/6, we can divide both the numerator and the denominator by their greatest common divisor, which is 2:

4/6 = (4/2) / (6/2) = 2/3

Therefore, there are 2/3 of a 3/4-cup serving in 1/2 cup of milk.