How do you evaluate #\frac { 13} { \frac { 2} { 5} - \frac { 1} { 4} }#?

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Answer 1 · 2017-11-23T08:02:10

#= 86 2/3 = 86. bar 6#

#\frac { 13} { \frac { 2} { 5} - \frac { 1} { 4} }#

First work with the denominator separately:

# \frac { 2} { 5} - \frac { 1} { 4} #

#= \frac { 2} { 5} (4/4)- \frac { 1} { 4} (5/5)#

#= \frac { 8} { 20} - \frac { 5} { 20} #

#= \frac { 3} { 20} #

Now the original expression can be written as:

#=>\frac { 13} { \frac { 3} { 20} }#

We know, division is inverse multiplication, so we can write it as:

#=> 13 xx ( \frac { 20} { 3} )#

#= 260 /3#

#= 86 2/3 = 86.66666#