2/3g+1/2g=14
i don't get it help??
at the like terms (g) together
2/3g + 1/2g = 7/6g
7/6 g = 14
solve for g
14 (6)
diivde by 7
To add 2/3g and 1/2g they need to have a common denominator. You would get this by mulitiplying 2/3g by 2/2 to get 4/6g and multiplying 1/2g by 3/3g to get 3/6. Notice that you are only multiplying by 2/2=3/3=1 so you aren't changing anything.
Now the problem becomes:
4/6g + 3/6g = 14
7/6g=14
g=14*6/7
g=12
the way you stated this problem is ambiguous.
if you mean (2/3)g + (1/2)g = 14, then simply combine using a common denominator. (4/6)g + (3/6)g = (7/6)g = 14, so g = (6/7)*14 = 6*2 = 12; g = 12
but if you meant 2/(3g) + 1/(2g) = 14, which is how what you wrote actually reads (i'm sure you meant the first though), you have:
2/(3g) + 1/(2g) = 14 [multiply both sides by 3g]
2 + 3g/2g = 14*3g [multiply both sides by 2g]
4g + 3g = 14*6g^2
84g^2 - 7g = 0
g(84g -7) = 0
g = 7/84
or g = 0
like i said, i'm sure you meant the first one, but you need to carefully observe order of operations in the future.
6g(2/3g +1/2g)=6g(14)
4+3 =84g
g= 7/84
g=1/12
You have to make the 2/3 and 1/2 share a common denominator first, which would be 6. 2/3 is 4/6 and 1/2 is 3/6, so
You can add the 2 g's together, which is 7/6g = 14
Then divide both sides by 7/6 to get the variable by itself, which leaves g = 12! If I did it right, g = 12.
You must first find a common denominator, which is 6.
Then multiply the entire equation by 6:
6(2/3g+1/2g=14)
4g+3g=84
7g=84
g=84/7
2/3g + 1/2g = 14
4g + 3g = 84
7g = 84
g = 12
Answer: g = 12
Proof:
2/3(12) + 1/2(12) = 14
8 + 6 = 14
2/3 is equal to 4/6 and 1/2 is equal to 3/6
so 4/6 plus 3/6 = 7/6g = 14. now put 14/(7/6). your calculator knows that dividing fractions is the same as multiplying by their recriprocals.
you have to make the 3 and 2 ( the bottem half of the fractions ) equivelant. Once you do that, divide 14 by your NEW numerator.
g is just a variable. it does not stand for grams.
g(2/3 + 1/2) =14
g(7/6) = 14
g =12.
hopefully this help.
Comments
at the like terms (g) together
2/3g + 1/2g = 7/6g
7/6 g = 14
solve for g
14 (6)
diivde by 7
To add 2/3g and 1/2g they need to have a common denominator. You would get this by mulitiplying 2/3g by 2/2 to get 4/6g and multiplying 1/2g by 3/3g to get 3/6. Notice that you are only multiplying by 2/2=3/3=1 so you aren't changing anything.
Now the problem becomes:
4/6g + 3/6g = 14
7/6g=14
g=14*6/7
g=12
the way you stated this problem is ambiguous.
if you mean (2/3)g + (1/2)g = 14, then simply combine using a common denominator. (4/6)g + (3/6)g = (7/6)g = 14, so g = (6/7)*14 = 6*2 = 12; g = 12
but if you meant 2/(3g) + 1/(2g) = 14, which is how what you wrote actually reads (i'm sure you meant the first though), you have:
2/(3g) + 1/(2g) = 14 [multiply both sides by 3g]
2 + 3g/2g = 14*3g [multiply both sides by 2g]
4g + 3g = 14*6g^2
84g^2 - 7g = 0
g(84g -7) = 0
g = 7/84
or g = 0
like i said, i'm sure you meant the first one, but you need to carefully observe order of operations in the future.
2/3g+1/2g=14
6g(2/3g +1/2g)=6g(14)
4+3 =84g
g= 7/84
g=1/12
You have to make the 2/3 and 1/2 share a common denominator first, which would be 6. 2/3 is 4/6 and 1/2 is 3/6, so
4/6g + 3/6g = 14
You can add the 2 g's together, which is 7/6g = 14
Then divide both sides by 7/6 to get the variable by itself, which leaves g = 12! If I did it right, g = 12.
You must first find a common denominator, which is 6.
Then multiply the entire equation by 6:
6(2/3g+1/2g=14)
4g+3g=84
7g=84
g=84/7
2/3g + 1/2g = 14
4g + 3g = 84
7g = 84
g = 12
Answer: g = 12
Proof:
2/3(12) + 1/2(12) = 14
8 + 6 = 14
2/3 is equal to 4/6 and 1/2 is equal to 3/6
so 4/6 plus 3/6 = 7/6g = 14. now put 14/(7/6). your calculator knows that dividing fractions is the same as multiplying by their recriprocals.
you have to make the 3 and 2 ( the bottem half of the fractions ) equivelant. Once you do that, divide 14 by your NEW numerator.
g is just a variable. it does not stand for grams.
g(2/3 + 1/2) =14
g(7/6) = 14
g =12.
hopefully this help.