Roger bought a sandwich with half of his money and a candy bar with one fifth of his money. How much of his money did he spend ?

Please show all the work.

(1/2) + (1/5) = ?

Is this correct 1/2 + 1/5 = 7/10

Yes.

To find out how much money Roger spent, we need to know the total amount of money he had. Let's assume he had $x.

First, let's calculate how much money he spent on the sandwich. He spent half of his money, so he spent 1/2 * x = x/2.

Next, let's calculate how much money he spent on the candy bar. He spent one-fifth of his money, so he spent 1/5 * x = x/5.

To find out how much money Roger spent in total, we add the amounts spent on the sandwich and the candy bar: x/2 + x/5.

To add these fractions, we need a common denominator. The least common multiple (LCM) of 2 and 5 is 10. So, we can rewrite the fractions with the common denominator of 10:

(x/2) * (5/5) = (5x/10)

(x/5) * (2/2) = (2x/10)

Now we can add the fractions:

(5x/10) + (2x/10) = (5x + 2x)/10 = 7x/10.

Therefore, Roger spent 7x/10 of his money.

Note: Without knowing the specific value of x, we cannot determine the exact amount of money Roger spent.