Final answer:
To determine how many 1/8 servings are in a half-full pitcher, you can divide 1/2 by 1/8. This yields 4/8 divided by 1/8, which simplifies to 4, implying there are four 1/8 servings in a 1/2 full pitcher.
Step-by-step explanation:
To solve the question: A pitcher is 1/2 full of juice, and a serving of juice is 1/8 of the pitcher. How many servings are in the pitcher? we need to compute how many 1/8 servings fit into 1/2 of the pitcher.
Firstly, we break down the pitcher into eighths since that's the size of the serving. To find out how many 1/8 servings are in a half-full pitcher, we divide the amount the pitcher currently holds (1/2) by the size of one serving (1/8).
Step by Step Calculation:
Write down the amount the pitcher currently holds in eighths: 1/2 equals 4/8 because when we multiply both the numerator (top number) and the denominator (bottom number) by the same number, the value doesn't change, and in this case, we use 4 because 4 x 2 equals 8.
Divide the new fraction 4/8 by 1/8. To do this, multiply 4/8 by the reciprocal of 1/8 which is 8/1, because dividing by a fraction is the same as multiplying by its reciprocal.
Completing the multiplication: 4/8 x 8/1 equals 32/8.
Simplify the result: 32/8 equals 4. So, there are 4 servings of 1/8 pitcher in a half-full pitcher.
Therefore, we conclude that there are four servings in the half-full pitcher.