Convert 43/5 to a mixed number.
Understand the Problem
The question is asking how to convert the improper fraction 43/5 into a mixed number. To solve this, we need to divide the numerator by the denominator to find the whole number part and determine the remainder to express it as a fraction.
Answer
The mixed number is \( 8 \frac{3}{5} \).
Answer for screen readers
The mixed number form of ( \frac{43}{5} ) is ( 8 \frac{3}{5} ).
Steps to Solve
- Divide the Numerator by the Denominator
To convert the improper fraction ( \frac{43}{5} ) into a mixed number, first divide 43 by 5.
Performing the division:
$$ 43 \div 5 = 8 $$
This means there are 8 whole parts.
- Calculate the Remainder
Next, calculate the remainder from the division.
Multiply the whole number found by the denominator:
$$ 8 \times 5 = 40 $$
Now subtract this from the original numerator:
$$ 43 - 40 = 3 $$
So, the remainder is 3.
- Write as a Mixed Number
Now we can express the result as a mixed number. The whole number part is 8, and the fractional part is the remainder over the original denominator:
$$ \frac{43}{5} = 8 \frac{3}{5} $$
Thus, the mixed number is ( 8 \frac{3}{5} ).
The mixed number form of ( \frac{43}{5} ) is ( 8 \frac{3}{5} ).
More Information
Converting improper fractions to mixed numbers helps express quantities in a more intuitive form. Mixed numbers can be easier to interpret in real-world contexts, such as cooking or measuring.
Tips
- Failing to find the remainder correctly can lead to an incorrect mixed number. Always double-check the subtraction after multiplying the whole number by the denominator.
- Not writing the mixed number in the correct format (like forgetting to put the whole and fractional parts together) can lead to confusion.
