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Answer :
To find out how many grams of medicine a child should take, follow these steps:
1. Understand the Adult Dosage:
- The dosage for an adult is given as [tex]\( \frac{5}{6} \)[/tex] of a gram.
2. Determine the Child Dosage:
- The child dosage is specified as [tex]\( \frac{1}{2} \)[/tex] of the adult dosage.
- To find the child dosage, multiply the adult dosage by [tex]\( \frac{1}{2} \)[/tex].
3. Calculate the Child Dosage:
- First, multiply [tex]\( \frac{1}{2} \)[/tex] by [tex]\( \frac{5}{6} \)[/tex].
- [tex]\[
\text{Child Dosage} = \frac{1}{2} \times \frac{5}{6}
\][/tex]
4. Solve the Multiplication of Fractions:
- Multiply the numerators: [tex]\( 1 \times 5 = 5 \)[/tex].
- Multiply the denominators: [tex]\( 2 \times 6 = 12 \)[/tex].
- So, [tex]\( \frac{1}{2} \times \frac{5}{6} = \frac{5}{12} \)[/tex].
5. Convert the Fraction to a Decimal:
- Convert [tex]\( \frac{5}{12} \)[/tex] to a decimal by dividing 5 by 12.
- The result is approximately [tex]\( 0.4167 \)[/tex] grams.
Therefore, the child should take approximately 0.4167 grams of the medicine.
1. Understand the Adult Dosage:
- The dosage for an adult is given as [tex]\( \frac{5}{6} \)[/tex] of a gram.
2. Determine the Child Dosage:
- The child dosage is specified as [tex]\( \frac{1}{2} \)[/tex] of the adult dosage.
- To find the child dosage, multiply the adult dosage by [tex]\( \frac{1}{2} \)[/tex].
3. Calculate the Child Dosage:
- First, multiply [tex]\( \frac{1}{2} \)[/tex] by [tex]\( \frac{5}{6} \)[/tex].
- [tex]\[
\text{Child Dosage} = \frac{1}{2} \times \frac{5}{6}
\][/tex]
4. Solve the Multiplication of Fractions:
- Multiply the numerators: [tex]\( 1 \times 5 = 5 \)[/tex].
- Multiply the denominators: [tex]\( 2 \times 6 = 12 \)[/tex].
- So, [tex]\( \frac{1}{2} \times \frac{5}{6} = \frac{5}{12} \)[/tex].
5. Convert the Fraction to a Decimal:
- Convert [tex]\( \frac{5}{12} \)[/tex] to a decimal by dividing 5 by 12.
- The result is approximately [tex]\( 0.4167 \)[/tex] grams.
Therefore, the child should take approximately 0.4167 grams of the medicine.
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