35/2 as a mixed number
Understand the Problem
The question is asking how to convert the improper fraction 35/2 into a mixed number format. This involves dividing the numerator by the denominator to find the whole number part and determining the remainder to find the fractional part.
Answer
The mixed number is \( 17 \frac{1}{2} \).
Answer for screen readers
The mixed number for the improper fraction ( \frac{35}{2} ) is ( 17 \frac{1}{2} ).
Steps to Solve
- Divide the numerator by the denominator
To convert the improper fraction ( \frac{35}{2} ) into a mixed number, we first need to divide the numerator (35) by the denominator (2).
$$ 35 \div 2 = 17 \text{ R } 1 $$
This tells us that 2 goes into 35 a total of 17 times, with a remainder of 1.
- Determine the whole number and the remainder
From the division, the whole number part of the mixed number is 17. The remainder from our division is 1.
- Form the fractional part
Next, we need to write the remainder over the original denominator. The remainder (1) becomes the numerator of the fractional part, and the denominator remains the same (2).
So, we write the fractional part as:
$$ \frac{1}{2} $$
- Combine the whole number and the fractional part
Now we combine the whole number and the fractional part to get the mixed number:
$$ 17 \frac{1}{2} $$
The mixed number for the improper fraction ( \frac{35}{2} ) is ( 17 \frac{1}{2} ).
More Information
Converting improper fractions to mixed numbers helps in understanding sizes and dealing with fractions in practical situations, such as cooking measurements or dividing things into parts.
Tips
- A common mistake is forgetting to include the remainder in the fractional part of the mixed number.
- Another mistake could be miscalculating the division, leading to an incorrect whole number.
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