43/4 as a mixed number
Understand the Problem
The question is asking to convert the improper fraction 43/4 into a mixed number format. To solve this, we divide the numerator (43) by the denominator (4) to find the whole number part, and use the remainder as the numerator of the fractional part.
Answer
$ 10 \frac{3}{4} $
Answer for screen readers
The mixed number form of the improper fraction $ \frac{43}{4} $ is $ 10 \frac{3}{4} $.
Steps to Solve
- Divide the numerator by the denominator
To convert the improper fraction $ \frac{43}{4} $ into a mixed number, we first divide 43 by 4.
$$ 43 \div 4 = 10 \quad \text{(whole number part)} $$
The quotient is 10, which is the whole number part of our mixed number.
- Find the remainder
Next, we need to calculate the remainder of this division.
$$ 43 - (10 \times 4) = 43 - 40 = 3 $$
The remainder is 3.
- Construct the mixed number
Now that we have the whole number and remainder, we can form the mixed number. The mixed number is composed of the whole number part and the fraction formed by the remainder over the original denominator.
Thus, the mixed number is:
$$ 10 \frac{3}{4} $$
The mixed number form of the improper fraction $ \frac{43}{4} $ is $ 10 \frac{3}{4} $.
More Information
Converting improper fractions to mixed numbers is a valuable skill in mathematics, and it helps in understanding how to work with different forms of numbers. Mixed numbers can be easier to visualize and work with, especially in real-life situations like cooking or measuring.
Tips
- Forgetting to subtract the product of the whole number part from the numerator, which leads to an incorrect remainder. Always ensure to calculate the remainder using $ \text{remainder} = \text{numerator} - (\text{whole number} \times \text{denominator}) $.
- Confusing the remainder with the whole number part; remember that the remainder will be used as the new numerator of the fractional part.
