Which expression represents the quotient 3.36/6.
A. (3/6)+(0.03/6)+(0.6/6)
B. (3/6)+(0.30/6)+(0.06/6)
C. (6/6)+(0.03/6)+(0.6/6)
D. (6/6)+(0.30/6)+(0.03/6)
I think it's B but not sure of how I really got the answer anymore.
Yes, B is correct, here's how:
3.36/6=(3+0.3+0.06)/6=3.00/6+0.30/6+0.06/6
To find the quotient 3.36/6, you need to divide 3.36 by 6. Let's break down the options and see which one matches this calculation.
Option A: (3/6) + (0.03/6) + (0.6/6)
This option would be correct if we were finding the sum of the quotients of each part. However, we are looking for the quotient of the entire expression 3.36/6, not the sum of individual quotients.
Option B: (3/6) + (0.30/6) + (0.06/6)
This option represents the correct calculation for 3.36/6. The coefficients in the numerator correspond to the digits in the dividend 3.36, and the denominator stays the same as 6.
Option C: (6/6) + (0.03/6) + (0.6/6)
This option does not represent the division 3.36/6. The numerator starts with 6 instead of 3.36.
Option D: (6/6) + (0.30/6) + (0.03/6)
This option also does not represent the division 3.36/6. The numerator starts with 6 instead of 3.36.
Therefore, the correct expression that represents the quotient 3.36/6 is Option B: (3/6) + (0.30/6) + (0.06/6).
To find the quotient of 3.36 divided by 6, you need to divide 3.36 by 6.
First, you can convert the decimal 3.36 into a fraction by placing it over 1, since any number divided by 1 equals itself. So, 3.36 can be written as 3.36/1.
To divide a fraction, you multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 6 is 1/6.
Therefore, the division 3.36/6 can be rewritten as (3.36/1) * (1/6).
Simplifying, we can cancel out the common factor of 6 between the numerator and denominator, resulting in:
= (3.36 * 1) / (1 * 6)
= 3.36 / 6
Now, let's examine the answer choices:
A. (3/6) + (0.03/6) + (0.6/6)
B. (3/6) + (0.30/6) + (0.06/6)
C. (6/6) + (0.03/6) + (0.6/6)
D. (6/6) + (0.30/6) + (0.03/6)
It appears that the correct answer choice is B because it includes the fractions (0.30/6) and (0.06/6), which are the decimal equivalents of the division 3.36/6.
Therefore, the correct expression representing the quotient 3.36/6 is B.