document.write( "Question 906199: I am trying to solve a long fraction problem. I'm not sure what it's called but I will send the problem and what I tried. I'm hoping you can tell me if it's right or not. This is just practice for me for studying for a test.
\n" ); document.write( "3/8÷1/10+3/5×1/6
\n" ); document.write( "(3/8÷1/10)+(3/5×1/6)
\n" ); document.write( "3/8×10/1=30/8
\n" ); document.write( "3/5×1/6=3/30
\n" ); document.write( "30/8+1/10
\n" ); document.write( "30/8×10/10+1/10×8/8=
\n" ); document.write( "308/80=3 4/5
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Algebra.Com's Answer #549663 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
3/8÷1/10+3/5×1/6
\n" ); document.write( "Believing that I know what you want, and using a fraction bar in place of the division
\n" ); document.write( "symbol and using a \"dot\" in place of the multiplication X symbol:
\n" ); document.write( "(3/8)/(1/10)+(3/5)*(1/6)
\n" ); document.write( "As rendered on the site,
\n" ); document.write( "Your Fraction Expression,\"highlight_green%28%283%2F8%29%2F%281%2F10%29%2B%283%2F5%29%2A%281%2F6%29%29\";\r
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\n" ); document.write( "\n" ); document.write( "\"%283%2F8%29%2810%2F1%29%2B%283%2F5%29%281%2F6%29\", dividing by fraction is same as multplying by reciprocal;\r
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\n" ); document.write( "\n" ); document.write( "\"%283%2A10%29%2F%288%29%2B%283%29%2F%285%2A6%29\", Multiplication gets precedence over addition; multiply the numerators for each numerator
\n" ); document.write( "and multiply denominators for each denominator;\r
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\n" ); document.write( "\n" ); document.write( "\"%283%2A5%29%2F4%2B1%2F%285%2A2%29\", reduce fractions as part of simplification, in this case, removing redundant factors of 1;\r
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\n" ); document.write( "\n" ); document.write( "BUT....\r
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\n" ); document.write( "\n" ); document.write( "\"15%2F4%2B1%2F10\", lowest common denominator here is 20, so...\r
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\n" ); document.write( "\n" ); document.write( "\"%2815%2F4%29%285%2F5%29%2B%281%2F10%29%282%2F2%29\", adjust each fraction term to its equivalent having denominator 20;\r
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\n" ); document.write( "\n" ); document.write( "\"%2875%2B2%29%2F20\"\r
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\n" ); document.write( "\n" ); document.write( "\"77%2F20\"\r
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\n" ); document.write( "\n" ); document.write( "\"highlight%283%2617%2F20%29\" Simplified as a mixed number\r
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\n" ); document.write( "\n" ); document.write( "Showing more steps in your own work is perfectly acceptable if it helps you to compute more
\n" ); document.write( "comfortably and reliably.
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