Question

Wich shows how the distributive property can be used to evaluate 7×8 4/5

Answer 1

According to the given data we have the following expression:

7×8 4/5​

In order to find out which shows how the distributive property can be used for we would have to make the following:

First convert mixed numbers to improper fraction

`a(b)/(c)=(a\cdot c+b)/(c)`
`\begin{gathered} So,\text{ }8(4)/(5)=(8*5+4)/(5)=(44)/(5) \\ 7*(44)/(5)=(7*\:44)/(1*\:5)\text{ by applying the fraction rule} \end{gathered}`
`\begin{gathered} \text{Next, }\mathrm{Multiply\: the\: numbers\colon}\: 7*\: 44=308 \\ =(308)/(1*\:5) \\ \mathrm{Multiply\: the\: numbers\colon}\: 1*\: 5=5 \\ =(308)/(5) \end{gathered}`

Finally, convert the improper fraction to mixed number:

`So,\text{ }(308)/(5)=61(3)/(5)`

Therefore, the option that shows how the distributive property can be used to evaluate 7×8 4/5​ would be the first option.