luanamarie luanamarie
  • 03-10-2017
  • Mathematics
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I don't understand how 251/4 divided by (-3/8)= -502/3

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altavistard
altavistard altavistard
  • 03-10-2017
I must assume you meant 251 / 4 (not 25 1/4).

251
-----
  4
====
   -3
-------
     8

can be evaluated by inverting the second fraction and multiplying the result:

251       -8
-----  * -----
   8        3

The 8s cancel, leaving us with -251/3.  Note that -248/3 = -83, so that the magnitue of -251/3 must be a little larger than -83.  

251 divided by 3 is 83 with a remainder of 2:  251/3 = 83 2/3

So -251/3 = -83 2/3 (answer)
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