Question

Which fraction has the greatest value?

A number line going from negative 1 to positive 1. There are 6 equal spaces between each number.
StartFraction 5 Over 6 EndFraction
StartFraction 1 Over 6 EndFraction
Negative StartFraction 1 Over 6 EndFraction
Negative StartFraction 5 Over 6 EndFraction

Answer 1

To determine which fraction has the greatest value, we can compare the given fractions:

1. \(\frac{5}{6}\)
2. \(\frac{1}{6}\)
3. \(-\frac{1}{6}\)
4. \(-\frac{5}{6}\)

Here’s how we can evaluate them:

- \(\frac{5}{6}\) is a positive fraction that is very close to 1, so it is quite large.
- \(\frac{1}{6}\) is also a positive fraction, but it is much smaller than \(\frac{5}{6}\).
- \(-\frac{1}{6}\) is a negative fraction.
- \(-\frac{5}{6}\) is also a negative fraction and is less than \(-\frac{1}{6}\).

Since \(\frac{5}{6}\) is the only positive fraction and is greater than both \(\frac{1}{6}\) and the negative fractions, it is clear that \(\frac{5}{6}\) has the greatest value among the given options.

Thus, the fraction with the greatest value is:

\(\frac{5}{6}\)