You took $[101 / 4] mg$ of medication in the morning and $[151 / 3] mg$ in the evening. How many mg of the medication did you take for the day?
$265 / 12$
$25^7 / 12$
$26^{1 / 2}$
$25^{1 / 2}$
Answer (2)
The total amount of medication taken for the day is 12 907 mg. This was found by converting each dose to a common denominator and adding them together. The fractions 4 101 mg and 3 151 mg combine to give this total.
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Find a common denominator for the fractions: The least common multiple of 4 and 3 is 12.
Convert the fractions to have a denominator of 12: 4 101 = 12 303 and 3 151 = 12 604 .
Add the fractions: 12 303 + 12 604 = 12 907 .
The total amount of medication taken for the day is 12 907 .
Explanation
Problem Setup We are given that you took 4 101 mg of medication in the morning and 3 151 mg in the evening. We want to find the total amount of medication taken for the day.
Adding the Amounts To find the total amount of medication, we need to add the amount taken in the morning and the amount taken in the evening: 4 101 + 3 151
Finding Common Denominator To add these fractions, we need to find a common denominator. The least common multiple of 4 and 3 is 12. So, we convert both fractions to have a denominator of 12: 4 101 = 4 × 3 101 × 3 = 12 303 3 151 = 3 × 4 151 × 4 = 12 604
Adding Fractions Now we can add the fractions: 12 303 + 12 604 = 12 303 + 604 = 12 907
Total Medication So, the total amount of medication taken for the day is 12 907 mg.
Examples
Understanding how to add fractions is crucial in many real-life situations, such as when you're cooking and need to combine different amounts of ingredients. For instance, if a recipe calls for 2 1 cup of flour and 3 1 cup of sugar, you need to add these fractions to know the total amount of dry ingredients. In this case, 2 1 + 3 1 = 6 3 + 6 2 = 6 5 cup of dry ingredients is needed. This skill is also useful in managing time, measuring distances, and many other practical scenarios.
