samuel correctly determines the product by applying the distributive property. -12·(6 1/24) what is samuels…

samuel correctly determines the product by applying the distributive property. -12·(6 1/24) what is samuels answer? enter your answer by filling in the boxes.

samuel correctly determines the product by applying the distributive property. -12·(6 1/24) what is samuels answer? enter your answer by filling in the boxes.

Answer

Explanation:

Step1: Convert mixed number to improper fraction

$$6\frac{1}{24}=\frac{6\times24 + 1}{24}=\frac{144+1}{24}=\frac{145}{24}$$

Step2: Apply distributive property

$$- 12\times(6\frac{1}{24})=-12\times\frac{145}{24}$$

Step3: Simplify the product

$$-12\times\frac{145}{24}=-\frac{12\times145}{24}=-\frac{145}{2}=-72.5$$

Answer:

(-72.5)