What is 6 Divided by 1/12?
The correct answer and explanation is:
To solve 6 divided by 1/12, you need to understand how division of fractions works. When dividing by a fraction, the rule is to multiply by its reciprocal.
The reciprocal of 1/12 is 12/1, or simply 12. So, dividing 6 by 1/12 is the same as multiplying 6 by 12.
This can be written as:
6 ÷ (1/12) = 6 × (12/1)
Now, calculate:
6 × 12 = 72
Thus, the answer is 72.
Explanation
When you divide by a fraction, you are essentially asking how many times that fraction fits into the whole number. Since dividing by a fraction is the same as multiplying by its reciprocal, you can simplify this process by flipping the fraction and changing the division into multiplication. This makes the calculation easier and faster.
For example, dividing 6 by 1/12 can be thought of as asking, “How many 1/12ths are in 6?” Since each 1/12th is a smaller portion of the whole, you multiply 6 by 12 to determine how many of those 1/12ths fit into the number 6. The multiplication of 6 by 12 gives you 72, which is the total number of 1/12ths that fit into 6.
In other words, when you divide by 1/12, you are scaling the number up by a factor of 12, because 1/12th is a small fraction of a whole, and you need more of them to make up the whole number.