SOLUTION: Please help with this problem 2/5y=4/5. I understand this may be a simple question for some of you but I've not had algebra....ever. I don't just want a answer but also a expalanat

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Please help with this problem 2/5y=4/5. I understand this may be a simple question for some of you but I've not had algebra....ever. I don't just want a answer but also a expalanat      Log On


   



Question 639957: Please help with this problem 2/5y=4/5. I understand this may be a simple question for some of you but I've not had algebra....ever. I don't just want a answer but also a expalanation.
Found 3 solutions by josh_jordan, MathTherapy, josmiceli:
Answer by josh_jordan(263) About Me  (Show Source):
You can put this solution on YOUR website!
%282%2F5%29y+=+4%2F5
Another way of writing this equation is:
2y%2F5+=+4%2F5
As you can see, the denominator of both of the fractions is the same. So, we can get rid of the denominators of these fractions and rewrite this equation as
2y = 4
To find out what y is, we have to get y all by itself on the left side of the equal sign. To do this, we have to do the opposite of what is being done on the left side of the equal sign. On the left side of the equal sign, 2 is being multiplied by y. So, to get y by itself, we must do the opposite of that to BOTH sides of the equal sign. Division is the opposite of multiplication, so divide both sides of the equal sign by 2:
2y%2F2+=+4%2F2
The 2 in the numerator and the 2 in the denominator, because they are the same number, cancel each other out, so on the left side of the equal sign, we are left with y. Now, just divide the right side of the equal sign: 4/2 = 2. This leaves us with our final answer
FINAL ANSWER: y = 2
Hope this helps!

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Please help with this problem 2/5y=4/5. I understand this may be a simple question for some of you but I've not had algebra....ever. I don't just want a answer but also a expalanation.

I'll assume that it's %282%2F5%29y+=+4%2F5, with the y in the numerator. You need to use parentheses!!

2y%2F5+=+4%2F5

Since both have the same denominator, we simply set the numerators equal to each other and solve, as follows:

2y = 4

y = 4%2F2, or highlight_green%282%29

A check shows that %282%2F5%29+%2A+2 is indeed 4%2F5

Send comments and “thank-yous” to “D” at MathMadEzy@aol.com

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Is y on the bottom or the top of the fraction ?
If it's on the top, you have:
+%282%2F5%29%2Ay+=+4%2F5+
----------------
The rule is: Whatever you do to one side of the
equals sign, you must do to the other side, and the
equation will still be true.
----------------
First multiply both sides by 5
Then what you have is:
+%285%2F5%29%2A2y+=+%285%2F5%29%2A4+
+2y+=+4+
Divide both sides by +2+
+%282%2F2%29%2Ay+=+4%2F2+
+y+=+2+ answer
===================
Now if the y is on the bottom of the fraction,
Multiply both sides by 5 also
+%285%2F5%29%2A%282%2Fy%29+=+%285%2F5%29%2A4+
+2%2Fy+=+4+
Now multiply both sides by y
+%28y%2Fy%29%2A2+=+4y+
+2+=+4y+
Divide both sides by 4
+y+=+2%2F4+
+y+=+1%2F2+
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Hope this helps