Convert 41/4 to a mixed number.
Understand the Problem
The question is asking how to express the fraction 41/4 as a mixed number. A mixed number consists of a whole number and a proper fraction. To convert this fraction, we will divide the numerator (41) by the denominator (4) to find the whole number part and the remainder to express the proper fraction.
Answer
The mixed number form of the fraction $\frac{41}{4}$ is $10 \frac{1}{4}$.
Answer for screen readers
The mixed number form of the fraction $\frac{41}{4}$ is $10 \frac{1}{4}$.
Steps to Solve
-
Divide the numerator by the denominator
We start by dividing the numerator (41) by the denominator (4).
$$ 41 \div 4 = 10 \quad \text{with a remainder of} \quad 1 $$ -
Identify the whole number part
The result of the division gives us the whole number part. Here, the whole number part is 10. -
Find the remainder
The remainder from the division is 1. This is the amount left over after extracting the whole number part. -
Express the remainder as a proper fraction
To express the remainder as a proper fraction, we take the remainder (1) and place it over the original denominator (4):
$$ \frac{1}{4} $$ -
Combine into a mixed number
Now we combine the whole number part with the proper fraction:
$$ 10 \frac{1}{4} $$
The mixed number form of the fraction $\frac{41}{4}$ is $10 \frac{1}{4}$.
More Information
A mixed number provides a clearer representation of a fraction, especially when dealing with real-world situations like measuring. It combines both whole and fractional parts, making it easier to understand at a glance.
Tips
- A common mistake is to confuse the remainder with the whole number part and not simplifying it into a mixture.
- Ensure that when finding the proper fraction, you correctly take the remainder and divide it by the original denominator.
