Question 1157037
Let the numerator = {{{ x }}}
The fraction is:
{{{ x / ( x+4 ) }}}
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given:
{{{ ( x + 6 ) / ( x + 4 + 6 ) = 7/9 }}}
{{{ ( x + 6 ) / ( x + 10 ) = 7/9 }}}
Multiply both sides by {{{ 9*( x + 10 ) }}}
{{{ 9*( x + 6 ) = 7*( x + 10 ) }}}
{{{ 9x + 54 = 7x + 70 }}}
{{{ 2x = 16 }}}
{{{ x = 8 }}}
and
{{{ x + 4 = 12 }}}
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The fraction is {{{ 8 / 12 }}}
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check:
{{{ ( x + 6 ) / ( x + 10 ) = 7/9 }}}
{{{ ( 8 + 6 ) / ( 8 + 10 ) = 7/9 }}}
{{{ 14 / 18 = 7/9 }}}
{{{ ( 2/2 )*( 7/9 ) = 7/9 }}}
{{{ 7/9 = 7/9 }}}
OK