SOLUTION: 5 5/7 : 3 = 2 3/8 : X 2 4/11 : 4 = 2X : 15/3

Algebra ->  Proportions -> SOLUTION: 5 5/7 : 3 = 2 3/8 : X 2 4/11 : 4 = 2X : 15/3       Log On


   

Question 796197: 5 5/7 : 3 = 2 3/8 : X



2 4/11 : 4 = 2X : 15/3
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
To solve 5%265%2F7+%3A+3+=+2%263%2F8+%3A+X I would first convert those mixed numbers into improper fractions.
575%2F7=5%2B5%2F7=35%2F7%2B5%2F7=40%2F7 and 2%263%2F8=2%2B3%2F8=16%2F8%2B3%2F8=19%2F8
so the proportion can be written as
%2840%2F7%29+%3A+3+=+%2819%2F8%29+%3AX

Solving:
%2840%2F7%29+%3A+3+=+%2819%2F8%29+%3AX
Sometimes teachers tell you that in a proportion the product of the extreme numbers (the ones on the ends) is equal to the product of the middle numbers.
That would bring you to
%2840%2F7%29X++=+%2819%2F8%293+ --> %2840%2F7%29X++=+57%2F8+
Then, to find X, you would divide 57%2F8 by 40%2F7
%2840%2F7%29%2AX++=+57%2F8+
X++=+57%2F8÷40%2F7
X++=+57%2F8 × 7%2F40
X++=+57%2A40%2F%288%2A7%29 but 40=8%2A5, so we can simplify that to
X++=+57%2A5%2F7
X++=+285%2F7=280%2F7%2B5%2F7=40%2B5%2F7=40%265%2F7