Use the properties of operations and rules for multiplying and dividing to solve the following problem:

Question

3/8×(−32)÷(−3)×1/8

Answer 1

To solve the expression \( \frac{3}{8} \times (-32) \div (-3) \times \frac{1}{8} \), we can follow the order of operations and simplify step by step.

1. Multiply \( \frac{3}{8} \) by \( -32 \): \[ \frac{3}{8} \times (-32) = \frac{3 \times (-32)}{8} = \frac{-96}{8} = -12 \]

2. Now we have \( -12 \div (-3) \): \[ -12 \div (-3) = 4 \]

3. Next, multiply by \( \frac{1}{8} \): \[ 4 \times \frac{1}{8} = \frac{4}{8} = \frac{1}{2} \]

Thus, the value of the entire expression \( \frac{3}{8} \times (-32) \div (-3) \times \frac{1}{8} \) is \( \frac{1}{2} \).

Answer 2

solve 3/8×(−32)÷(−3)×1/8

Answer 3

To solve the expression \( \frac{3}{8} \times (-32) \div (-3) \times \frac{1}{8} \), let's go through it step by step.

1. Simplify \( \frac{3}{8} \times (-32) \): \[ \frac{3}{8} \times (-32) = \frac{3 \times (-32)}{8} = \frac{-96}{8} = -12 \]

2. Now perform the division with \(-3\): \[ -12 \div (-3) = 4 \]

3. Finally, multiply by \( \frac{1}{8} \): \[ 4 \times \frac{1}{8} = \frac{4}{8} = \frac{1}{2} \]

So the final result of \( \frac{3}{8} \times (-32) \div (-3) \times \frac{1}{8} \) is: \[ \boxed{\frac{1}{2}} \]

Answer 4

A recipe calls for 2 1/3 cups oatmeal. You double the recipe and then divide it evenly into 14 servings. How much oatmeal is in each serving?

Answer 5

To determine how much oatmeal is in each serving after doubling the recipe and dividing it into 14 servings, we can follow these steps:

1. Convert the mixed number to an improper fraction: \[ 2 \frac{1}{3} = \frac{2 \times 3 + 1}{3} = \frac{6 + 1}{3} = \frac{7}{3} \]

2. Double the amount of oatmeal: \[ 2 \times \frac{7}{3} = \frac{14}{3} \]

3. Divide the total amount by the number of servings (14): \[ \text{Amount in each serving} = \frac{\frac{14}{3}}{14} \] This is equivalent to multiplying by the reciprocal of 14: \[ = \frac{14}{3} \times \frac{1}{14} = \frac{14}{42} = \frac{1}{3} \]

So, the amount of oatmeal in each serving is: \[ \boxed{\frac{1}{3}} \text{ cup} \]