Question

=

−
8
7
​
−(−
6
5
​
)=minus, start fraction, 7, divided by, 8, end fraction, minus, left parenthesis, minus, start fraction, 5, divided by, 6, end fraction, right parenthesis, equals

Answer 1

`-(1)/(24)`

Explanation:

We are required to reduce the expression below to its simplest form
`-(7)/(8) -((5)/(6))`

STEP 1: Remove the brackets

Take note that the product of same sign(- and -) will give you the addition sign.

`-(7)/(8) -((5)/(6) )=(7)/(8) +(5)/(6)`

STEP 2: Find the Lowest Common Multiple of 8 and 6

Lowest Common Multiple of 8 and 6 is 24

STEP 3: Use the LCM to Simplify

`-(7)/(8) +(5)/(6)=((-3X7)+(5X4)/(24) \\=(-21+20)/(24) \\=(-1)/(24) \\=(1)/(24)`

Therefore:

`-(7)/(8)-(-(5)/(6) ) =-(1)/(24)`