Question 74762
{{{(5/7)/(9/14)=w+1}}}
{{{(5/7)*(14/9)=w+1}}}When dividing fractions, you multiply the 1st fraction by the reciprocal of the 2nd (ie {{{(1/2)/(1/3)=(1/2)(3/1)=3/2}}}
{{{(5/1)*(2/9)=w+1}}}Notice that 7 goes into 14 2 times so {{{14/7=2}}}
{{{10/9-1=w+cross(1-1)}}}Subtract 1 from both sides
{{{10/9-1=w}}}
{{{10/9-9/9=w}}}
{{{(10-9)/9=w}}}
{{{1/9=w}}}
So 
{{{w=1/9}}}
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Check:
{{{(5/7)/(9/14)=1/9+1}}}
{{{10/9=1/9+9/9}}}
{{{10/9=10/9}}}works