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3. Cole spent some time working on his history homework. Then, he spent \( \frac{5}{12} \) hour working on his Spanish homework. Cole spent 1 hour on homework. What fraction of an hour did Cole spend on history? Explain. A \( \frac{2}{12} \) hour; because \( \frac{5}{12}-\frac{3}{12}=\frac{2}{12} \) B \( \frac{2}{12} \) hour because he spent the same amount of time on Spanish as he did History. C \( \frac{7}{12} \) hour; because \( \frac{12}{12}-\frac{5}{12}=\frac{7}{12} \) D \( \frac{12}{12} \) hour; because he spent an hour on homework

Ask by Burton Schultz. in the United States
Mar 08,2025

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Cole spent \(\frac{7}{12}\) of an hour on history homework.

Solución

1. Cole spent a total of \(1\) hour on homework. 2. He spent \(\frac{5}{12}\) hour on Spanish homework. 3. Therefore, the time he spent on history homework is: \[ 1 - \frac{5}{12} = \frac{12}{12} - \frac{5}{12} = \frac{7}{12} \] 4. The fraction of an hour that Cole spent on history is \(\frac{7}{12}\). Thus, the correct answer is C.

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Cole spent a total of 1 hour on homework, which is equivalent to \( \frac{12}{12} \) hours. Since he dedicated \( \frac{5}{12} \) hours to his Spanish homework, we can find the time spent on history homework by subtracting this from the total hours. So, \( \frac{12}{12} - \frac{5}{12} = \frac{7}{12} \) hours. Therefore, the correct answer is C \( \frac{7}{12} \) hour. To tackle this problem efficiently, subtraction is the key! Remember, when dealing with fractions, always ensure they have the same denominator before you perform operations. A common mistake is forgetting to do this, which can lead to incorrect answers. So keep your fractions organized and work through them step by step—your homework will thank you!

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