
Orly R. answered 11/12/20
College Student with Experience in Elementary Education
To do this problem, we have to figure out the factors of both 75 and 20
For 75, the factors are: 1, 3, 5, 15, 25, and 75
For 20, the factors are: 1, 2, 4, 5, 10, and 20
Comparing these sets, we see that the greatest factor that these two numbers have in common is 5. To use the distributive property, we divide both of these numbers by 5. 75/5=15 and 20/5=4. The final answer to the problem would be
5(15 + 4)
You can see that if we multiplied the two numbers inside the parentheses by 5, then we would be back to our original numbers, 75 and 20. Factoring out the greatest common factor allows us to visualize this expression in a different way.