What is 994.14 -: 18.9?

1 Answer
Apr 3, 2016

994.14-:18.9=52.6

Explanation:

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