The baker has ½ pound of sugar left.He needs 1 ⁄ 8 of a pound for each batch of cookies he makes. How many batches of cookies can he make with 1 ⁄ 2 pound of su
To find out how many batches of cookies the baker can make with \( \frac{1}{2} \) pound of sugar, we need to divide the total amount of sugar (\( \frac{1}{2} \) pound) by the amount of sugar needed for each batch (\( \frac{1}{8} \) pound per batch).
Let's calculate:
\[ \text{Number of batches} = \frac{\frac{1}{2} \text{ pound}}{\frac{1}{8} \text{ pound per batch}} \]
To divide by a fraction, multiply by its reciprocal:
\[ \text{Number of batches} = \frac{\frac{1}{2} \text{ pound}}{\frac{1}{8} \text{ pound per batch}} \times \frac{8}{1} \]
Answers & Comments
Answer:
To find out how many batches of cookies the baker can make with \( \frac{1}{2} \) pound of sugar, we need to divide the total amount of sugar (\( \frac{1}{2} \) pound) by the amount of sugar needed for each batch (\( \frac{1}{8} \) pound per batch).
Let's calculate:
\[ \text{Number of batches} = \frac{\frac{1}{2} \text{ pound}}{\frac{1}{8} \text{ pound per batch}} \]
To divide by a fraction, multiply by its reciprocal:
\[ \text{Number of batches} = \frac{\frac{1}{2} \text{ pound}}{\frac{1}{8} \text{ pound per batch}} \times \frac{8}{1} \]
Simplifying the expression:
\[ \text{Number of batches} = \frac{1}{2} \times 8 = 4 \]
The baker can make 4 batches of cookies with \( \frac{1}{2} \) pound of sugar.