document.write( "Question 506318: [1/6 + 1/2] / [19/42 / 1/6] = what \n" ); document.write( "
Algebra.Com's Answer #340470 by Maths68(1474)\"\" \"About 
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=[1/6 + 1/2] / [19/42 / 1/6]
\n" ); document.write( "(Take LCM of Numerator and Change division to multiplication of Denominator)
\n" ); document.write( "=[[(1*1)+(1*3)]/6] / [(19/42) * (6/1)]
\n" ); document.write( "=[(1+3)/6] / [(19/42) * (6/1)]
\n" ); document.write( "=(4/6) /(19/7)
\n" ); document.write( "=(2/3)/(19/7)
\n" ); document.write( "Again Chang Division to multiplication so denominator will be inverse)
\n" ); document.write( "=(2/3)*(7/19)
\n" ); document.write( "=(2*7)/(3*19)
\n" ); document.write( "=14/57 Ans.
\n" ); document.write( "
\n" ); document.write( "or another way to do this\r
\n" ); document.write( "\n" ); document.write( "let
\n" ); document.write( "a= 1/6 + 1/2
\n" ); document.write( "b= (19/42) / (1/6)\r
\n" ); document.write( "\n" ); document.write( "Solve 'a' first
\n" ); document.write( "a= 1/6 + 1/2
\n" ); document.write( "Take LCM
\n" ); document.write( "=[(1*1)+(1*3)]/6
\n" ); document.write( "=(1+3)/6
\n" ); document.write( "=4/6
\n" ); document.write( "=2/3\r
\n" ); document.write( "\n" ); document.write( "Now Solve 'b'
\n" ); document.write( "b= (19/42) / (1/6)
\n" ); document.write( "Change Division into Multiplication then Denominator will be inverse
\n" ); document.write( "b= (19/42) * (6/1)
\n" ); document.write( "= (19*6)/42
\n" ); document.write( "= 114 / 42
\n" ); document.write( "=19/7\r
\n" ); document.write( "\n" ); document.write( "Now we have
\n" ); document.write( "= a/b
\n" ); document.write( "Put the values of a and b
\n" ); document.write( "= (2/3)/(19/7)
\n" ); document.write( "Again change division to Multiplication then denominator will be inverse
\n" ); document.write( "= 2/3 * 7/19
\n" ); document.write( "= 14/57 Ans.\r
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