Question
6. You spend \( \frac{3}{5} \) of your allowance on food and \( \frac{1}{6} \) of your allowance on entertainment. How much of your allowance do you spend?
Ask by Clark Huff. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Gastas \( \frac{23}{30} \) de tu asignación.
Solution
Para determinar cuánto de tu asignación gastas en total, sumamos las fracciones correspondientes:
\[
\frac{3}{5} + \frac{1}{6} = \frac{18}{30} + \frac{5}{30} = \frac{23}{30}
\]
Por lo tanto, gastas **\(\frac{23}{30}\)** de tu asignación.
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Mind Expander
To find out how much of your allowance you spend, we need to add the fractions representing your food and entertainment expenses. First, convert \( \frac{3}{5} \) and \( \frac{1}{6} \) to have a common denominator. The least common multiple of 5 and 6 is 30. So, \( \frac{3}{5} = \frac{18}{30} \) and \( \frac{1}{6} = \frac{5}{30} \). Now, add them together: \( \frac{18}{30} + \frac{5}{30} = \frac{23}{30} \). You spend \( \frac{23}{30} \) of your allowance on food and entertainment.