joe has $450 dollars to spend on the office party he spends half of the money on food and1/3 on the decorations which fraction represents the portion of the money he spends on food and decorations?

To find the fraction that represents the portion of the money Joe spends on food and decorations, we need to calculate both fractions separately first.

Joe spends half of the money on food, which can be represented as 1/2.

He spends 1/3 of the money on decorations.

To combine these fractions, we need to find the common denominator. In this case, the least common multiple of 2 and 3 is 6.

So the fraction representing the portion of the money Joe spends on food and decorations can be found by adding the fractions:

1/2 + 1/3 = 3/6 + 2/6 = 5/6.

Therefore, the fraction representing the portion of the money Joe spends on food and decorations is 5/6.

To find the fraction that represents the portion of money Joe spends on food and decorations, we need to add the fractions of money spent on each item.

Joe spends half of the money on food, which can be represented as 1/2. He also spends 1/3 of the money on decorations.

To add these fractions, we need to find a common denominator. In this case, the common denominator is 6 because both 2 and 3 can divide into 6 evenly.

Now, let's convert the fractions to have a denominator of 6:
1/2 becomes (1/2)(3/3) = 3/6
1/3 remains the same, as it already has a denominator of 3.

Next, we can add the fractions:
3/6 + 1/3 = (3 + 2) / 6 = 5/6

Therefore, the fraction 5/6 represents the portion of the money Joe spends on food and decorations.

1/2 + 1/3 = 3/6 + 2/6 = 5/6