Convert 49/6 to a mixed number.
Understand the Problem
The question is asking how to convert the improper fraction 49/6 into a mixed number, which involves dividing the numerator by the denominator to find the whole number and the remainder.
Answer
$ 8 \frac{1}{6} $
Answer for screen readers
The mixed number for the improper fraction $ \frac{49}{6} $ is $ 8 \frac{1}{6} $.
Steps to Solve
- Divide the Numerator by the Denominator
To convert the improper fraction $ \frac{49}{6} $ into a mixed number, start by dividing the numerator (49) by the denominator (6).
$$ 49 \div 6 = 8 \text{ R } 1 $$
This tells us that 6 goes into 49 eight times with a remainder of 1.
- Identify the Whole Number and the Fractional Part
The quotient from the division gives us the whole number, which is 8. The remainder (1) will be the numerator of the fractional part, and the denominator will remain 6.
So we have:
- Whole number: 8
- Fraction: $ \frac{1}{6} $
- Write the Mixed Number
Finally, we combine the whole number and the fractional part into a mixed number form.
The mixed number is:
$$ 8 \frac{1}{6} $$
The mixed number for the improper fraction $ \frac{49}{6} $ is $ 8 \frac{1}{6} $.
More Information
Converting improper fractions to mixed numbers is a useful skill in mathematics, as it allows for easier interpretation of quantities, especially in real-life scenarios like cooking or measurements.
Tips
- Confusing the whole number and the remainder when writing the mixed number. Ensure you place the whole number before the fraction.
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