Convert 39/5 to a mixed number in lowest terms.
Understand the Problem
The question is asking how to convert the improper fraction 39/5 into a mixed number. To do this, we need to divide the numerator by the denominator to find the whole number part and determine the remainder for the fractional part.
Answer
The mixed number is $ 7 \frac{4}{5} $.
Answer for screen readers
The mixed number equivalent of the improper fraction $ \frac{39}{5} $ is $ 7 \frac{4}{5} $.
Steps to Solve
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Divide the numerator by the denominator
To convert the improper fraction $ \frac{39}{5} $ into a mixed number, start by dividing the numerator (39) by the denominator (5).
$$ 39 \div 5 = 7 \text{ R } 4 $$
This means 5 goes into 39 a total of 7 times with a remainder of 4. -
Write the whole number part
The result from the division gives us the whole number part of the mixed number, which is 7. -
Formulate the fractional part
Next, take the remainder (4) and write it over the original denominator (5) to form the fractional part. Thus, the fractional part is $ \frac{4}{5} $. -
Combine both parts
Finally, combine the whole number part and the fractional part to express the mixed number. The mixed number is:
$$ 7 \frac{4}{5} $$
The mixed number equivalent of the improper fraction $ \frac{39}{5} $ is $ 7 \frac{4}{5} $.
More Information
Converting improper fractions to mixed numbers is useful in various real life scenarios, like cooking or measuring. Mixed numbers can make it easier to understand quantities that aren't whole.
Tips
- A common mistake is forgetting to express the remainder as a fraction over the original denominator. Ensure you always use the original denominator for the fractional part.
- Another mistake is miscalculating the division; double-check to ensure the quotient and remainder are correct.
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