How do you evaluate #6.8\div \frac { 2} { 5} - 4.62#?

1 Answer
Aug 14, 2017

#12.38#

Explanation:

You don't want to work with different formats - there are decimals and fractions.

The first term will be easier in fractions.

#6.8 div 2/5 -4.62" "larr (6.8 = 6 8/10 =6 4/5)#

#=6 4/5 xx 5/2 -4.62#

#= 34/5 xx5/2 -4.62#

#= cancel34^17/cancel5 xxcancel5/cancel2 -4.62#

#= 17-4.62#

#=12.38#
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You might decide to use decimals rather.

#6.8/0.4 - 4.62" "larr 2/5 = 2/10 = 4/10 = 0.4#

#=6.8/0.4 xx10/10 - 4.62" "larr xx10/10# to get rid of decimal in denom.

#= 68/4 -4.62#

#= 17-4.62#

#=12.38#