Convert 17/10 to a mixed number.
Understand the Problem
The question is asking for the conversion of the improper fraction 17/10 into a mixed number format. To solve this, we will divide the numerator by the denominator to find the whole number part and calculate the remainder for the fractional part.
Answer
$ 1 \frac{7}{10} $
Answer for screen readers
The improper fraction $ \frac{17}{10} $ as a mixed number is $ 1 \frac{7}{10} $.
Steps to Solve
- Divide the Numerator by the Denominator
To convert the improper fraction $ \frac{17}{10} $ into a mixed number, we start by dividing the numerator (17) by the denominator (10).
$$ 17 \div 10 = 1.7 $$
So, the whole number part is 1.
- Calculate the Remainder
Next, we need to find the remainder of the division. We can do this by multiplying the whole number part by the denominator and subtracting from the numerator.
$$ \text{Remainder} = 17 - (1 \times 10) = 17 - 10 = 7 $$
- Construct the Mixed Number
Now that we have the whole number part (1) and the remainder (7), we can express the fractional part. The remainder is over the original denominator (10).
Thus, the mixed number is:
$$ 1 \frac{7}{10} $$
The improper fraction $ \frac{17}{10} $ as a mixed number is $ 1 \frac{7}{10} $.
More Information
Converting improper fractions to mixed numbers helps in understanding the value better, especially in the context of measurements, where mixed numbers are often more practical.
Tips
- Failing to calculate the remainder correctly can lead to an incorrect fractional part in the mixed number.
- Skipping the step of dividing completely, leading to just a decimal value instead of finding the whole number and remainder.
