Convert 65/6 into a mixed number.
Understand the Problem
The question is asking to convert the improper fraction 65/6 into a mixed number format, which involves finding how many whole numbers can be taken from the fraction and what the remainder is.
Answer
The mixed number form of \( \frac{65}{6} \) is \( 10 \frac{5}{6} \).
Answer for screen readers
The mixed number form of ( \frac{65}{6} ) is ( 10 \frac{5}{6} ).
Steps to Solve
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Identify the Whole Number
To convert the improper fraction ( \frac{65}{6} ) into a mixed number, we need to divide the numerator (65) by the denominator (6).
We calculate:
$$ 65 \div 6 = 10 \quad \text{(whole part)} $$ -
Find the Remainder
Next, we find the remainder of this division to represent the left-over fraction.
We calculate the remainder:
$$ 65 - (10 \times 6) = 65 - 60 = 5 \quad \text{(remainder)} $$ -
Construct the Mixed Number
Now that we have the whole number and the remainder, we can write the mixed number.
The mixed number format will be:
$$ 10 \frac{5}{6} $$
The mixed number form of ( \frac{65}{6} ) is ( 10 \frac{5}{6} ).
More Information
When converting improper fractions to mixed numbers, the whole number represents how many times the denominator fits into the numerator, and the fraction shows what is left over. This method helps in understanding fractions better in contexts like cooking and measurement.
Tips
- Forgetting to divide correctly: Some might try to subtract the denominator from the numerator repeatedly instead of dividing. Remember to divide for the whole number and multiply back for the correct remainder.
- Misunderstanding the remainder: The remainder should always be less than the denominator; ensure that your calculations yield a proper remainder.
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