What is 1626 divided by 12 as a mixed number
The Correct Answer and Explanation is :
The correct answer is: ( 135 \frac{1}{2} )
To divide 1626 by 12 and express the result as a mixed number, we can follow these steps:
- Perform the Division:
[
1626 \div 12 = 135.5
]
However, to express this in mixed number form, we focus on the whole number and the fractional part. - Separate the Whole Number:
The whole number part of the division is 135. This means there are 135 whole groups of 12 in 1626. - Calculate the Remainder:
Next, we need to find out how much is left after accounting for those whole groups:
[
12 \times 135 = 1620
]
[
1626 – 1620 = 6
]
This calculation shows that there is a remainder of 6. - Express the Remainder as a Fraction:
The remainder can be expressed as a fraction of the divisor (12):
[
\frac{6}{12}
]
This fraction simplifies to:
[
\frac{1}{2}
] - Combine the Whole Number and the Fraction:
Now, we can write the final answer as a mixed number:
[
135 \frac{1}{2}
]
Explanation
Dividing numbers can be a straightforward process when you follow a systematic approach. In this case, we began by dividing 1626 by 12, which is a common division problem in arithmetic. Dividing larger numbers can often lead to the necessity of understanding remainders and fractions, especially when the result is not a whole number.
In this scenario, we determined that 12 fits into 1626 exactly 135 times, leaving a remainder of 6. Understanding the concept of mixed numbers is vital, as it allows for a clearer representation of numbers that are not whole. The process of converting the remainder into a fraction provides an accurate representation of the value of the division. This method not only gives the result but also reinforces the understanding of division, remainders, and fractions in mathematics. Thus, the final answer is ( 135 \frac{1}{2} ).