17/5 simplified
Understand the Problem
The question is asking to simplify the fraction 17/5. The high-level approach involves dividing both the numerator and denominator by their greatest common divisor, if possible, or converting it into a mixed number.
Answer
The mixed number form of $\frac{17}{5}$ is $3\frac{2}{5}$.
Answer for screen readers
The simplified form of the fraction $\frac{17}{5}$ in mixed number is $3\frac{2}{5}$.
Steps to Solve
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Identifying the Fraction The fraction given is $\frac{17}{5}$. We need to determine if it can be simplified.
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Finding the GCD To simplify a fraction, we check for the greatest common divisor (GCD) of the numerator and denominator. The prime factors of $17$ are just $17$ (it's a prime number), and for $5$, it’s only $5$. Since the GCD is $1$, we cannot simplify the fraction.
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Converting to Mixed Number Since $17$ is greater than $5$, we can convert it into a mixed number. To find the mixed number, we divide $17$ by $5$.
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Performing the Division Dividing, we have: $$ 17 \div 5 = 3 \quad \text{(whole number)} $$ with a remainder: $$ 17 - (5 \times 3) = 2 $$ This gives us a mixed number of $3$ and a remainder of $2$.
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Writing the Mixed Number So the mixed number form of the fraction $\frac{17}{5}$ is: $$ 3\frac{2}{5} $$
The simplified form of the fraction $\frac{17}{5}$ in mixed number is $3\frac{2}{5}$.
More Information
A mixed number consists of a whole number and a proper fraction. In this case, $3\frac{2}{5}$ means there are 3 whole parts and 2 parts out of 5 from the whole.
Tips
- Confusing simplification with conversion: Always check if the fraction can be simplified first before converting to a mixed number.
- Not performing the division correctly when converting to a mixed number can lead to errors.
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