Question #5d9a4

3 Answers
Aug 11, 2017

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

Aug 11, 2017

-17/12

Explanation:

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

Aug 12, 2017

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