Final answer:
The quotient of 0.32 divided by 1.92 is found by multiplying both numbers by 100 to remove the decimals, then dividing the resulting whole numbers. After simplification, the quotient is approximately 0.1667.
Step-by-step explanation:
To find the quotient of 0.32 divided by 1.92, division of decimals is required. First, we should convert this division problem into a division with whole numbers to simplify it. We can do this by multiplying both the numerator and the denominator by a power of 10 that makes the denominator a whole number. In this case, multiplying both by 100 will work:
- 0.32 * 100 = 32
- 1.92 * 100 = 192
Now we have 32 divided by 192, which can be simplified by dividing both numbers by their greatest common divisor. In this case, 32 and 192 are both divisible by 32:
So the problem simplifies to 1 divided by 6. The result of 1/6 is approximately 0.1667, which can be rounded depending on the required precision. Therefore, the quotient of 0.32 divided by 1.92 is approximately 0.1667.