How do you divide #3079.48 -: 66.8#?

1 Answer
Apr 2, 2016

#3079.48-:66.8=46.1#

Explanation:

To divide #3079.48# by #66.8#, let us first put them as fractions

#3079.48-:66.8=307948/100-:668/10=307948/100xx10/668#

and as #668# and #307948# are divisible by #4#, above is equal to

= #(76987cancel(307948))/(10cancel(100))xx(1cancel(10))/(167cancel(668))#

Although #167# is prime (as it is not divisible by any prime number up to #11#, the prime number just before square root of #167#), number #76987# is divisible by #167# as #76987=167xx461#

Hence #3079.48-:66.8=76987/10xx1/167#

= #(461cancel(76987))/10xx1/(1cancel(167))=461/10=46.1#