document.write( "Question 825064: by what rational should we multiply -5/9 to get 1/5?
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Algebra.Com's Answer #496988 by Edwin McCravy(20055) $\"\"$ $\"About$

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by what rational should we multiply -5/9 to get 1/5?
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document.write( "To do this, think of a similar problem using whole numbers instead of\r\n" );
document.write( "fractions and how you would do it.\r\n" );
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document.write( "For instance, think of this problem:

By what number should we multiply 23 to get 161?

To find that answer we divide 161÷23 and get 7.\r\n" );
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document.write( "In your problem:

By what rational should we multiply -5/9 to get 1/5?

the -5/9 corresponds to the 23 and the 1/5 corresponds to the 161.\r\n" );
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document.write( "So since in the other problem we divided 161÷23, in this problem\r\n" );
document.write( "we divide the corresponding things the same way:\r\n" );
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document.write( "To divide by a fraction, we invert the fraction we are dividing by,\r\n" );
document.write( "and change division to multiplication:\r\n" );
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document.write( " = \r\n" );
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document.write( "Edwin

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