Algebra homework help. Can you explain how to work it and then the answer

1) 1/4 - 12/1 >>> common denomintaor = 4
(1 - 48)/4 = -47/4 or - 11 3/4
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2) - 18 + (-12) = -18 - 12 = - 30
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3)-15 + 29 = +14
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4) -3/4 -(-1/4) = -3/4 + 1/4 = -1
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when you multiply pluses and minuses just count the pencil strokes that you make. An even number of strokes gives you a plus and an odd number gives you a minus.
Examples
-2(-3) = +6 even
2(-3) = -6 odd
2(3) = +6 even
-2(3) = -6 odd

3) x + 29 for x = -15

Here we can just "plug in" or substitute -15 for x and then evaluate. So x+29 is the same thing as -15+29 if x=-15.

-15 + 29 is the same thing as 29-15 = 14 <-- Final answer

1. Ans:
1/4 - 12 = (1 - 4 x 12 ) / 4
= (1 - 48 ) / 4
= - 47 / 4

2. Ans:
- 18 + (-12) = -18 -12
= 30 [ Because, - x - = + ]

3. Ans:

Given that, x = -15

So
x + 29 = - 15 +29 [ for x = -15 ]
= 14

4. Ans:
-3/4 - (-1/4) = -3/4 + 1/4 [ Because, - x - = + ]
= ( -3 + 1 ) / 4
= -2 / 4
= -1/2


Thanks.

1) 1/4 - 48/4 = -47/4
2) -18 - 12 = -30
3) -15 + 29 = 14
4) -3/4 + 1/4 = -2/4 = -1/2

1:-(1-48)/12= -47/12
2:- -18-12= -30
3:- -15+29+= -14(x= -14)
4:- -2/4= -1/2