SOLUTION: How do I solve for x in the following problem: 3 4/5 / x = 2 5/7

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Question 910617: How do I solve for x in the following problem: 3 4/5 / x = 2 5/7
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
to convert a mixed fraction into simple fraction , we have to follow through following steps
Multiply the whole number part by the fraction's denominator.
Add that to the numerator
Write that result on top of the denominator
so 3 4/5 = [ (5*3)+4]/5 = [15+4]/5
= [19/5]

2 5/7 = [(7*2)+5]/7 = [14+5]/7 = [19/7]

3 4/5 / x = 2 5/7 ==> (19/5)/x = (19/7)
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: %2819%2F5%29%2Fx=%2819%2F7%29 simplifies to 19%2F5%2Fx-19%2F7=0
  • Text form: (19/5)/x=(19/7) simplifies to 19/5/x-19/7=0
  • Cartoon (animation) form: simplify_cartoon%28+%2819%2F5%29%2Fx=%2819%2F7%29+%29
    For tutors: simplify_cartoon( (19/5)/x=(19/7) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%28highlight_red%28+19%2F5+%29%29%2Fx+%29=%2819%2F7%29.
Remove unneeded parentheses around factor highlight_red%28+19+%29,highlight_red%28+1%2F5+%29
It becomes highlight_green%28+19+%29%2Fhighlight_green%28+5+%29%2Fx=%2819%2F7%29.
Look at 19%2F5%2Fx=highlight_red%28+%2819%2F7%29+%29.
Remove unneeded parentheses around terms highlight_red%28+19%2F7+%29
It becomes 19%2F5%2Fx=highlight_green%28+19%2F7+%29.
Look at 19%2F5%2Fx=highlight_red%28+19%2F7+%29.
Moved these terms to the left highlight_green%28+-19%2F7+%29
It becomes 19%2F5%2Fx-highlight_green%28+19%2F7+%29=0.
Result: 19%2F5%2Fx-19%2F7=0

Universal Simplifier and Solver


Done!

19/ 5x = 19/7
1/5x = 1/7
multiply with 5x on both sides
5x* 1/5x =5x*1/7
1= 5x/7
x = 7/5