Question 1209894: 1). 4 is 2/5 of what number?
2). 4 is 1/3 of what number?
These are questions in the book that I need to explain to the students.
Found 3 solutions by ikleyn, timofer, math_tutor2020:
Answer by ikleyn(52779)   (Show Source):
You can put this solution on YOUR website! .
(1) 4 is 2/5 of what number ?
If 4 is 2/5 of some number, then 1/5 of that number is half of 4, i.e. 4/2 = 2.
Next, since 2 is 1/5 of the number, then the whole number is 5 times 2, i.e.10.
ANSWER. 4 is 2/5 of 10.
(2) 4 is 1/3 of what number ?
If 4 is 1/3 of some number, then that whole number is 3 times 4, i.e. 3*4 = 12.
ANSWER. 4 is 1/3 of 12.
Solved, with explanations.
Answer by timofer(104)  (Show Source):
Answer by math_tutor2020(3816) (Show Source):
You can put this solution on YOUR website!
I'll do the first question to get you started.
x = some unknown number
(2/5)x = two fifths of that number, "of" means "multiply"
4 = (2/5)x
5*4 = 2x
20 = 2x
x = 20/2
x = 10
4 is 2/5 of 10
As a check,
(2/5)x = (2/5)*10 = (2*10)/5 = 20/5 = 4
The answer is confirmed.
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