document.write( "Question 335223: x/2 + x/5 = 5/4
\n" ); document.write( "can I see this problem worked out and then checked? \n" ); document.write( "
Algebra.Com's Answer #240275 by CharlesG2(834)\"\" \"About 
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x/2 + x/5 = 5/4
\n" ); document.write( "can I see this problem worked out and then checked?\r
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\n" ); document.write( "\n" ); document.write( "x/2 + x/5 = 5/4
\n" ); document.write( "on left side we need common denominators\r
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\n" ); document.write( "\n" ); document.write( "5/5 * x/2 + 2/2 * x/5 = 5/4 (we actually multiplying each fraction by one, so no change in values is actually done)\r
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\n" ); document.write( "\n" ); document.write( "(5x)/10 + (2x)/10 = 5/4
\n" ); document.write( "(7x)/10 = 5/4
\n" ); document.write( "7x = 5/4 * 10 (multiplied both sides by 10)
\n" ); document.write( "7x = 50/4
\n" ); document.write( "28x = 50 (multiplied both sides by 4)
\n" ); document.write( "x = 50/28 = 25/14 = 1.7857 rounded to 4 places\r
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\n" ); document.write( "\n" ); document.write( "check: (25/14)/2 + (25/14)/5
\n" ); document.write( "25/14 * 1/2 + 25/14 * 1/5 = 25/28 + 25/70 (need common denominators, 28 goes into 140 five times and 70 goes into 140 two times)
\n" ); document.write( "25/28 * 5/5 + 25/70 * 2/2 = 125/140 + 50/140 = 175/140
\n" ); document.write( "175/140 = 35/28 = 5/4\r
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\n" ); document.write( "\n" ); document.write( "x = 25/14 = 1.7857 rounded to 4 places is indeed the solution\r
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