What is #0.9944-:0.8#?

1 Answer
Apr 8, 2016

#0.9944-:0.8=1.243#

Explanation:

As #0.9944=9944/10000# and #0.8=8/10#

#0.9944-:0.8=9944/10000-:8/10#

Further as dividing by a fraction is equivalent to multiplying by fraction's multiplicative inverse

#0.9944-:0.8=9944/10000xx10/8#

Now #9944# is divisible be #8# and #9944-:8=1243#, hence

#0.9944-:0.8=(1243cancel(9944))/(1000cancel(10000))xx(cancel10)/cancel8=1243/1000=1.243#

In short, one can divide #0.9944# by #0.8# simply by dividing #9944# by #8#, which gives us #1243# and then placing decimal after three places #4-1=3#, which gives us #1.243#.