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)   (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
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  • Graphical form: simplifies to
  • Text form: (19/5)/x=(19/7) simplifies to 19/5/x-19/7=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( (19/5)/x=(19/7) )
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DETAILED EXPLANATION


Look at .
Remove unneeded parentheses around factor highlight_red%28+19+%29,highlight_red%28+1%2F5+%29
It becomes .

Look at .
Remove unneeded parentheses around terms highlight_red%28+19%2F7+%29
It becomes .

Look at .
Moved these terms to the left highlight_green%28+-19%2F7+%29
It becomes .
Result:

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

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