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Grace is taking \( 7 / 8 \) of a tablespoon of cold medicine 3 times a day. How much cold medicine is she taking in one day?

Ask by Johnston Knight. in the United States
Mar 15,2025

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Answer

Grace takes \( \frac{21}{8} \) tablespoons, which is the same as \( 2\frac{5}{8} \) tablespoons, of cold medicine each day.

Solution

Grace takes \( \frac{7}{8} \) tablespoon per dose. Since she takes it 3 times a day, the total amount is calculated by multiplying the single dose by 3: \[ 3 \times \frac{7}{8} = \frac{3 \times 7}{8} = \frac{21}{8} \] The fraction \(\frac{21}{8}\) is an improper fraction. Converting it to a mixed number: \[ \frac{21}{8} = 2\frac{5}{8} \] Thus, Grace takes \( \frac{21}{8} \) tablespoons, or equivalently \( 2\frac{5}{8} \) tablespoons, of cold medicine each day.

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In one day, Grace takes \( \frac{7}{8} \) tablespoon three times. To find her total daily intake, you would multiply the dosage by the number of doses: \[ 3 \times \frac{7}{8} = \frac{21}{8} \text{ tablespoons}. \] This means Grace is taking \( 2 \frac{5}{8} \) tablespoons of cold medicine in total each day. To make sure you are calculating properly, it’s important to convert improper fractions to mixed numbers accurately and to ensure you’re benefiting from a common denominator when adding fractions together. This helps avoid errors, especially when the fractions get larger. Always double-check your calculations!

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