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valentinak56 [21]
3 years ago
15

3. Tom, Sam and Matt are counting drum beats.

Mathematics
1 answer:
just olya [345]3 years ago
6 0

Answer:

<em>When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.</em>

Step-by-step explanation:

The Least Common Multiple ( LCM )

The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.

For example:

LCM(20,8)=40

LCM(35,18)=630

Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.

Find the LCM of 4,10,12. Follow this procedure:

List prime factorization of all the numbers:

4 = 2*2

10 = 2*5

12 = 2*2*3

Multiply all the factors the greatest times they occur:

LCM=2*2*3*5=60

Thus, when 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.

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What is 246 : 7 in long division​
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Here we will show you step-by-step with detailed explanation how to calculate 246 divided by 7 using long division.

Before you continue, note that in the problem 246 divided by 7, the numbers are defined as follows:

246 = dividend

7 = divisor

Step 1:

Start by setting it up with the divisor 7 on the left side and the dividend 246 on the right side like this:

7 ⟌ 2 4 6

Step 2:

The divisor (7) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

0

7 ⟌ 2 4 6

Step 3:

Multiply the divisor by the result in the previous step (7 x 0 = 0) and write that answer below the dividend.

0

7 ⟌ 2 4 6

0

Step 4:

Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.

0

7 ⟌ 2 4 6

- 0

2

Step 5:

Move down the 2nd digit of the dividend (4) like this:

0

7 ⟌ 2 4 6

- 0

2 4

Step 6:

The divisor (7) goes into the bottom number (24), 3 time(s). Therefore, put 3 on top:

0 3

7 ⟌ 2 4 6

- 0

2 4

Step 7:

Multiply the divisor by the result in the previous step (7 x 3 = 21) and write that answer at the bottom:

0 3

7 ⟌ 2 4 6

- 0

2 4

2 1

Step 8:

Subtract the result in the previous step from the number written above it. (24 - 21 = 3) and write the answer at the bottom.

0 3

7 ⟌ 2 4 6

- 0

2 4

- 2 1

3

Step 9:

Move down the last digit of the dividend (6) like this:

0 3

7 ⟌ 2 4 6

- 0

2 4

- 2 1

3 6

Step 10:

The divisor (7) goes into the bottom number (36), 5 time(s). Therefore put 5 on top:

0 3 5

7 ⟌ 2 4 6

- 0

2 4

- 2 1

3 6

Step 11:

Multiply the divisor by the result in the previous step (7 x 5 = 35) and write the answer at the bottom:

0 3 5

7 ⟌ 2 4 6

- 0

2 4

- 2 1

3 6

3 5

Step 12:

Subtract the result in the previous step from the number written above it. (36 - 35 = 1) and write the answer at the bottom.

0 3 5

7 ⟌ 2 4 6

- 0

2 4

- 2 1

3 6

- 3 5

1

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 246 divided by 7 calculated using Long Division is:

35

1 Remainder

Mark as brainlist

5 0
3 years ago
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