What is #994.14 -: 18.9#?

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Answer 1 · 2016-04-03T06:28:54

#994.14-:18.9=52.6#

#994.14-:18.9=99414/100-:189/10#

As dividing by a number is equivalent to multiplying by its multiplicative inverse

#994.14-:18.9=99414/100xx10/189#.

Now divisibility rule of #9# indicates that #99414# and #189#, both are divisible by #9#, hence

#994.14-:18.9=(11046cancel(99414)xxcancel(10))/(10cancel(100)xx21cancel(189))=11046/(10xx21)#

Now #11046# and #21# are divisible by #3# and #7#, hence

#994.14-:18.9=(526cancel(3682)cancel(11046))/(10xx1cancel7cancel(21))=52.6#