The label on a bottle of juice says that 3/4 of the bottle consists of apple juice, 1/6 of the bottle consists of cherry juice, and the rest is water. What fraction of the bottle is juice?
3/4 + 1/6 = ?
To find the fraction of the bottle that is juice, we need to add up the fractions of apple juice and cherry juice.
The label states that 3/4 of the bottle consists of apple juice. This means that if we divide the bottle into 4 equal parts, 3 parts would be apple juice.
Similarly, the label states that 1/6 of the bottle consists of cherry juice. If we divide the bottle into 6 equal parts, 1 part would be cherry juice.
To find the common denominator, we need to find the least common multiple (LCM) of 4 and 6. The LCM of 4 and 6 is 12.
Now, let's convert the fractions to have the same denominator of 12:
- Apple juice: 3/4 = 9/12
- Cherry juice: 1/6 = 2/12
Next, we add the fractions together to find the total fraction of juice in the bottle:
9/12 (apple juice) + 2/12 (cherry juice) = 11/12.
Therefore, the fraction of the bottle that is juice is 11/12.