Question
Mike is making bread. He needs 2/3 cup of water and 1/8 cup of of molasses. How many total cups of ingredients does he need? ______________ of a cup.
Answers
GPT-4o mini
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:
- For water:
\[
\frac{2}{3} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24}
\]
- 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.**
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:
- For water:
\[
\frac{2}{3} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24}
\]
- 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.**