Convert 43/9 into a mixed number.
Understand the Problem
The question is asking how to convert the improper fraction 43/9 into a mixed number. This involves dividing the numerator by the denominator to find the whole number part and determining the remainder for the fractional part.
Answer
$4 \frac{7}{9}$
Answer for screen readers
The mixed number corresponding to the improper fraction $\frac{43}{9}$ is $4 \frac{7}{9}$.
Steps to Solve
- Divide the Numerator by the Denominator
To convert the improper fraction $\frac{43}{9}$ into a mixed number, we start by dividing the numerator (43) by the denominator (9).
- Perform the Division
When we divide, we find:
$$ 43 \div 9 = 4 \quad \text{(whole number part)} $$
This means there are 4 whole parts in the fraction.
- Calculate the Remainder
Next, we need to find the remainder of this division:
$$ \text{Remainder} = 43 - (9 \times 4) $$
Calculating this, we have:
$$ \text{Remainder} = 43 - 36 = 7 $$
- Write the Mixed Number
Finally, we can express the mixed number. The whole number part is 4, and the fractional part is the remainder over the denominator:
$$ \text{Mixed Number} = 4 \frac{7}{9} $$
The mixed number corresponding to the improper fraction $\frac{43}{9}$ is $4 \frac{7}{9}$.
More Information
Converting improper fractions to mixed numbers is useful in simplifying problems and makes it easier to interpret the value. A mixed number consists of a whole number and a proper fraction.
Tips
- Forgetting to calculate the remainder properly. Make sure to multiply the whole number part by the denominator and subtract from the numerator.
- Confusing the fractional part with the improper fraction itself. Remember to use the remainder over the original denominator for the fractional part.