Answer:
1) 2 5/12
2) -3 1/30
3) 3/5
4) m = -28
5) b = -27
Step-by-step explanation:
1) You may be expected to solve this a different way, but how I prefer to solve these involves converting to "improper fractions", then making everything whole.
-11/3 = x - 5/4 (convert to improper fractions)
-44 = 12x - 15 (multiply everything by 12 to get whole numbers)
-29 = 12x (add 15 to both sides)
-29/12 = x (divide both sides by 12)
2 5/12 = x (convert to a mixed number, because that's what the question asks)
For clarity, that's two and five twelfths.
2) Same thing as above. I prefer improper fractions.
x + 17/6 = -1/5 (simplify and convert to improper fractions)
30x + 85 = -6 (multiply everything by 30 to get whole numbers)
30x = -91 (subtract 85 from both sides)
x = -91/30 (divide both sides by 30
x = -3 1/30 (convert to a mixed number, because that's what the question asks)
For clarity, thats minus/negative three and one thirtieth.
3) Same thing as above.
-(11/3)x = -11/5
-55x = -33
55x = 33
x = 33/55
x = 3/5
4) Same as above, but it's multiple choice! Yay!
-3m = 84
m = -28
5) You know the drill.
-b = 27
b = -27
I'd be happy to explain more if you need it at all. I'd recommend that next time this comes up, you post just one problem and see if you can understand the method so you can better learn how to do it on your own. Good luck (:
