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: $\frac{9}{10}$

Step-by-step explanation:

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

 $\frac{1}{2}$ of the group's video games is at Jerome's house.

 $\frac{2}{5}$ 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:

$\frac{1}{2}+\frac{2}{5}=\frac{(1)(5)+(2)(2)}{10}=\frac{5+4}{10}=\frac{9}{10}$