To find the total amount of cups of ingredients Mike needs, you simply add the amounts of water and molasses together.
Mike needs:
- Water: \( \frac{2}{3} \) cup
- Molasses: \( \frac{1}{8} \) cup
To add these fractions, first find a common denominator. The least common multiple of 3 and 8 is 24.
Now, convert each fraction to have a denominator of 24:
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For water: \[ \frac{2}{3} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24} \]
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For molasses: \[ \frac{1}{8} = \frac{1 \times 3}{8 \times 3} = \frac{3}{24} \]
Now, add the two fractions: \[ \frac{16}{24} + \frac{3}{24} = \frac{16 + 3}{24} = \frac{19}{24} \]
So, the total amount of ingredients Mike needs is \( \frac{19}{24} \) of a cup.
Thus, the answer is: \( \frac{19}{24} \) of a cup.
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