working with a circle graph divided up into 1/3 woodwind, 1/6 percussion, and 1/2 brass. The marching band has three percussion musicians. How many musicians altogether are in the band?

I think I have to add all of the fractions together and my answer is in simplest form so it would be 12 musicians. Is this correct?

(1/6)x = 3

x = 3/(1/6)

x = 3 * 6

To find the total number of musicians in the marching band, you need to convert the fractions into a common denominator and then add them together.

1/3 is the same as 2/6.
So, the graph can be divided into 2/6 woodwind, 1/6 percussion, and 3/6 brass.

To find the total fraction of musicians, you add 2/6 + 1/6 + 3/6, which equals 6/6.

Since 6/6 represents the entire circle graph, it means that there are a total of 6 parts in the circle.

Since there are 3 percussion musicians, each part represents 3/6 or 1/2 of a musician.

To find the total number of musicians, divide 6 by 1/2:
6 / 1/2 = 6 * 2/1 = 12

Therefore, there are 12 musicians altogether in the marching band. Your answer is correct!

To find the total number of musicians in the band, we need to add up the fractions representing each section of the band and then calculate the total.

First, let's convert the fractions into a common denominator, so we can add them easily.

The denominators of the fractions 1/3, 1/6, and 1/2 are 3, 6, and 2 respectively. We need to find the least common multiple (LCM) of these three numbers, which is 6.

Now, let's convert each fraction accordingly:

1/3 = (1/3) × (2/2) = 2/6
1/6 = (1/6) × (1/1) = 1/6
1/2 = (1/2) × (3/3) = 3/6

So now we have:

2/6 representing the woodwind section
1/6 representing the percussion section
3/6 representing the brass section

To find the total, we add up these fractions:

2/6 + 1/6 + 3/6 = 6/6 = 1

The total is equal to 1, which means that the fractions represent the entire marching band.

Given that there are three percussion musicians in the band, we can say that the total number of musicians is three times the value of each fraction.

3 × 1 = 3

Therefore, there are three percussion musicians and a total of three musicians in the marching band.