SOLUTION: How do I show my son how to solve this math problem: 4/5 times ___ = 2/5

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Question 716850: How do I show my son how to solve this math problem:
4/5 times ___ = 2/5

Found 3 solutions by kekegeter , MathTherapy, Alan3354:
Answer by kekegeter (97) About Me  (Show Source):
You can put this solution on YOUR website!
1) 4/5 X = 2/5
2) 2^2*x/5 = 2/5
3) 2^2*x/2^2 = 2/2^2
4) x=1/2^2-1
5) x=1/2

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

How do I show my son how to solve this math problem:
4/5 times ___ = 2/5

Two examples:

2 * a = 6. Therefore, a = 6%2F2

3 * b = 15. Therefore, b = 15%2F3

Do you get it now?

4%2F5 times _S_ = 2%2F5. Therefore, S = 2%2F5 ÷ 4%2F5 ----- S+=+%282%2F5%29+%2A+%285%2F4%29 ------ S+=+%28cross%282%29%2Fcross%285%29%29+%2A+%28cross%285%29%2Fcross%284%292%29 ------ highlight_green%281%2F2%29

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How do I show my son how to solve this math problem:
4/5 times ___ = 2/5
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Use a label for the value you want to find.
x is popular.
4/5 times x = 2/5
(4/5)*x = 2/5
Eliminate fractions, multiply by b5
4x = 2
Divide by 4
x = 2/4
x = 1/2
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4/5 times 1/2 = 2/5