Question

Help me please, and show your steps! Jerome has 1/2 of the group's video games at his house. Mario has 2/5 of the group's video games at his house. What fraction of the group's video games is either at Jerome's house or Mario's house?

Answer 1

Answer:
`(9)/(10)`

Explanation:

According to the information given in the exercise, you know that:

`(1)/(2)` of the group's video games is at Jerome's house.

`(2)/(5)` of the group's video games is at Mario's house.

Then, you need to add those fractions in order to solve the exercise.

Notice that the denominators of the fractions are different; so in this case, you need to multiply them in order to find the Least Common Denominator (LCD). This is:

`LCD=2*5=10`

Now, the procedure is:

1- Divide each original denominator by the LCD and multiply the numerators by the quotient obtained.

2- Add the products (This sum will be the numerator).

Then, you get the following result:

`(1)/(2)+(2)/(5)=((1)(5)+(2)(2))/(10)=(5+4)/(10)=(9)/(10)`