31/8 simplified

Understand the Problem

The question is asking for the simplified form of the fraction 31/8. To simplify this fraction, we will check if it can be reduced by finding any common factors between the numerator and the denominator, but in this case, since 31 is a prime number and does not divide 8, it is already in its simplest form.

Answer

The simplified form is $\frac{31}{8}$.
Answer for screen readers

The simplified form of the fraction is $\frac{31}{8}$.

Steps to Solve

  1. Identify the Numerator and Denominator

The fraction we are working with is $\frac{31}{8}$, where 31 is the numerator and 8 is the denominator.

  1. Check for Common Factors

Since 31 is a prime number, it has no divisors other than 1 and itself. We also check the number 8, which factors into $2 \times 2 \times 2$ (or $2^3$).

  1. Determine if Reduction is Possible

Since the only factors of 31 are 1 and 31, and the factors of 8 are all multiples of 2, they share no common factors. Thus, $\frac{31}{8}$ cannot be reduced further.

  1. Conclusion

Thus, the fraction $\frac{31}{8}$ is already in its simplest form.

The simplified form of the fraction is $\frac{31}{8}$.

More Information

The fraction $\frac{31}{8}$ is an improper fraction, which means the numerator is larger than the denominator. It can also be expressed as a mixed number: $3 \frac{7}{8}$, indicating that it consists of 3 whole parts and a remainder of $\frac{7}{8}$.

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