To convert the improper fraction \( \frac{3}{8} \) into a mixed number, we follow these steps:
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Divide the numerator by the denominator. In this case, we take \( 3 \div 8 \). This gives us \( 0 \) as the whole number since 3 is less than 8.
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Express the result as a mixed number. Since there is no whole part, we only have the fractional part:
\[ \frac{3}{8} = 0 \frac{3}{8} \]
Thus, as a mixed number, it remains \( 0 \frac{3}{8} \).
Next, when dividing \( \frac{3}{8} \) by \( \frac{4}{3} \):
\[ \frac{3}{8} \div \frac{4}{3} \]
To divide by a fraction, we multiply by its reciprocal:
\[ \frac{3}{8} \times \frac{3}{4} \]
Now, we can multiply the fractions:
\[ = \frac{3 \times 3}{8 \times 4} = \frac{9}{32} \]
So, if you are looking for the amount of chocolate powder in tablespoons required for 1 cup of milk in Recipe A, you will need:
\[ \frac{9}{32} \text{ tablespoons of chocolate powder.} \]
In summary, here's the overall conversion and calculation done:
- Mixed number of \( \frac{3}{8} = 0 \frac{3}{8} \) (as no whole number part),
- \( \frac{3}{8} \div \frac{4}{3} = \frac{9}{32} \).