Of the students in the band, 5/12 play the flute and another 1/2 play the clarinet. What fraction of the students in the band play either the flute or the clarinet?

Write your answer as a fraction or as a whole or mixed number.


To find the fraction of students in the band who play either the flute or the clarinet, we need to add the fractions representing each group.

### Step 1: Find a common denominator
The fractions given are:
\[
\frac{5}{12} \quad \text{and} \quad \frac{1}{2}
\]

The least common denominator of 12 and 2 is 12.

### Step 2: Convert \(\frac{1}{2}\) to a fraction with denominator 12
\[
\frac{1}{2} = \frac{6}{12}
\]

### Step 3: Add the fractions
Now, add \(\frac{5}{12}\) and \(\frac{6}{12}\):
\[
\frac{5}{12} + \frac{6}{12} = \frac{11}{12}
\]

Thus, \(\frac{11}{12}\) of the students in the band play either the flute or the clarinet.

Would you like more details or have any questions?

Here are 5 related questions for further exploration:
1. What fraction of students do not play either the flute or the clarinet?
2. If there are 24 students in the band, how many students play the flute?
3. If there are 36 students in the band, how many students play the clarinet?
4. What fraction of students play both the flute and the clarinet if 1/6 of the students do so?
5. How would the answer change if 1/4 of the students played a different instrument, such as the trumpet?

**Tip:** When adding fractions, always ensure they have a common denominator before performing the addition.

Of the students in the band, 5/12 play the flute and another 1/2 play the clarinet. What fraction of the students in the band play either the flute or the clarinet?

This problem involves adding fractions to determine the fraction of students in a band who play either the flute or the clarinet. Learn how to find the least common denominator and solve step-by-step. Suitable for students in Grades 5-6.

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