Question

Question #5d9a4

Answer 1

See a solution process below:

Explanation:

Assuming the question is to evaluate:

`(-2 5/6) - (-1 1/4) =>`

`-2 5/6 + 1 1/4`

Next we can convert the mixed numbers to improper fractions:

`-([6/6 xx 2] + 5/6) + ([4/4 xx 1] + 1/4) =>`

`-(12/6 + 5/6) + (4/4 + 1/4) =>`

`-17/6 + 5/4`

Next, we need to put the fractions over a common denominator by multiply each fraction by the appropriate form of `1`:

`(4/4 xx -17/6) + (6/6 xx 5/4) =>`

`(4 xx -17)/(4 xx 6) + (6 xx 5)/(6 xx 4) =>`

`-68/24 + 36/24 =>`

`(-68 + 36)/24 =>`

`-32/24`

We can now reduce the fraction to the lowest form:

`(8 xx -4)/(8 xx 3) =>`

`(color(red)(cancel(color(black)(8))) xx -4)/(color(red)(cancel(color(black)(8))) xx 3) =>`

`-4/3`

Answer 2

`-17/12`

Explanation:

`-25/6-(-11/4)`
`(-25/6)+11/4`
take lcm
`(-100+66)/24`
`-34/24`
2 times table
`-17/12`

Answer 3

`color(magenta)(-19/12`

Explanation:

`(-2 5/6)-(-1 1/4)`

`:.=-2 5/6+1 1/4`

`:.=-17/6+5/4`

`:.=(-34+15)/12`

`:.=color(magenta)(-19/12`

~~~~~~~~~~~~~~~~

`color(magenta)(check:`by calculator

`:.(-2 5/6)-(-1 1/4)`

`:.color(magenta)(-2.833333333+1.25=-1.583333333`

`:.color(magenta)(-19/12=-1.583333333`