how do you solve 0.32/8.64=
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0.32=32*0.01
8.64=32*0.027
(0.32/8.64)=(32*0.01)/(32*.027)=(0,01/0.027)*(1000/1000)=(10/27)
To solve the division problem 0.32 divided by 8.64, you can follow these steps:
Step 1: Set up the division expression:
Write down 0.32 as the dividend (the number being divided) and 8.64 as the divisor (the number that divides the dividend).
0.32
÷ 8.64
Step 2: Divide the numbers:
Begin dividing the numbers. Start with the decimal point in the quotient (the answer).
First, move the decimal point in the dividend (0.32) to the right so that it becomes 3.2. Do the same to the divisor (8.64), which becomes 86.4.
3.2
÷ 86.4
Next, consider how many times 86.4 fits into 32. Since it doesn't fit, place a decimal point in the quotient and add a zero after the decimal point in the dividend.
3.2.
÷ 86.4
Now, consider how many times 86.4 fits into 320. It fits 3 times (86.4 x 3 = 259.2), so write 3 in the quotient, below the line.
3.2
÷ 86.4
3
Subtract the product of the divisor (86.4) multiplied by the quotient (3) from the dividend (320). This gives you the remainder.
3.2
÷ 86.4
3
---
32
Bring down the next digit from the dividend, which is zero.
3.20
÷ 86.4
3
---
320
Consider how many times 86.4 fits into 320. It fits 3 times (86.4 x 3 = 259.2), so write 3 in the quotient, below the line.
3.20
÷ 86.4
33
---
320
Subtract 259.2 (the product of the divisor and the quotient) from the dividend (320). This gives you a remainder of 60.8.
3.20
÷ 86.4
33
---
60.8
At this point, you can continue the division process as far as you need to, depending on the required level of precision or rounding. However, please note that the decimal representation of 0.32 divided by 8.64 is a recurring decimal, which means it doesn't terminate and keeps repeating indefinitely.
So, the solution to 0.32 divided by 8.64 is approximately equal to 0.037.