To find out how much sugar Ms. Johnson used when she baked the birthday cake, we need to calculate half of the sugar she had in the canister.
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Identify the amount of sugar in the canister: There are \( \frac{7}{8} \) cups of sugar.
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Calculate half of \( \frac{7}{8} \):
- To find half, we need to multiply \( \frac{7}{8} \) by \( \frac{1}{2} \).
- The multiplication involves multiplying the numerators together and the denominators together:
\[ \text{Half of } \frac{7}{8} = \frac{7}{8} \times \frac{1}{2} = \frac{7 \times 1}{8 \times 2} = \frac{7}{16} \]
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Conclusion: Therefore, Ms. Johnson used \( \frac{7}{16} \) cups of sugar for the birthday cake.
So, the answer is that Ms. Johnson used \( \frac{7}{16} \) cups of sugar.