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William is making a pie. He uses 1/2 cup of blueberries and 2/3 cup of raspberries. What is the total amount of berries in William’s pies? *

1 point
3/5 cup
2/6 cup
one and 1/6 cups
3/6 cup
Helpppp me plzzzzzzz ALSO IM SERIOUS NO FILESSSSSSSS!!!! PLESE SOME ONE HELP ME

1 Answer

4 votes

Answer:

one and 1/6 cups (1 1/6)

Explanation:

2/3 + 1/2

TOTAL means addition.

To add 2/3 and 1/2, we must first find the lowest common denominator (LCD).

The denominator of 2/3 is 3.

The denominator of 1/2 is 2.

Now, we list the multiples of the denominator and find the lowest multiple they have in common.

3: 3, 6, 9, 12, 15

2: 2, 4, 6, 8, 10

The lowest number they have in common is 6.

Second, we change the denominators to 6.

In 2/3, to make 3 into 6, we have to multiply it by 2.

Since we're multiplying the denominator by 2, the numerator will be multiplied by 2 as well.

2/3 x 2/2 = 4/6

Now we do the same for 1/2.

1/2 x 3/3 = 3/6

Now, we add the new fractions.

4/6 + 3/6 = 7/6

7/6 = 1 1/6 (one and 1/6 cups).

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