Question

Compare using <>= -5 2/8 and -5 7/8

Answer 1

`-5(2)/(8)>-5(7)/(8)`

Explanation:

Given:

The given mixed fractions are:

`-5(2)/(8)\ and\ -5(7)/(8)`

Both the mixed fractions have the whole part same as -5. Now, in order to compare the two, we have to compare their fractional parts
`(2)/(8)` and
`(7)/(8)`.

As the denominators of both the fractions are same and equal to 8.

For same denominators of two positive fractions, the numerator with a greater value has a larger fraction.

For same denominators of two negative fractions, the numerator with a smaller value has a larger fraction.

Here, both the fractions are negative, so the numerator that is smaller has the larger fraction.

Here, 2 is less than 7. So, the fraction
`-5(2)/(8)` is greater than that of
`-5(7)/(8)`.

Therefore,
`-5(2)/(8)>-5(7)/(8)`