Solve the proportion. 2/5=x-4/4
2/5 = x-4/4
2/5 = x-1
2/5(+1) = x-1(+1)
2/5(+5/5) = x
7/5 = x
I have a sneaking suspicion that you meant
2/5 = (x-4)/4
since no respectable textbook would write 4/4 in a question.
if so, then
5x - 20 = 8
5x = 28
x = 28/5
Thank you for your help. I am sorry I couldn't fill it in correctly, but the problem doesn't read 2 divided by 5 equals x-4 divided by 4. They are actually fractions. So it is 2 numerator and 5 denominator. Does this change the answer?
Yes Reiny. Thank you. Sorry I didn't type it in correctly.
To solve the proportion 2/5 = (x - 4)/4, we can use the method of cross-multiplication.
Cross-multiplication involves multiplying the numerator of one fraction by the denominator of the other fraction. Here's how we apply it to this proportion:
First, cross-multiply by multiplying 2 (the numerator of the first fraction) by 4 (the denominator of the second fraction):
2 * 4 = 8
Next, cross-multiply by multiplying 5 (the denominator of the first fraction) by (x - 4) (the numerator of the second fraction):
5 * (x - 4) = 5x - 20
Now we have the equation:
8 = 5x - 20
To isolate the variable x, we can start by moving the constant term (-20) to the other side of the equation by adding 20 to both sides:
8 + 20 = 5x - 20 + 20
28 = 5x
To solve for x, divide both sides of the equation by 5:
(28) / 5 = (5x) / 5
28/5 = x
So, the solution to the proportion 2/5 = (x - 4)/4 is x = 28/5.