Answer:
[tex]\frac{27}{4}[/tex] , [tex]\frac{9}{4}[/tex] , [tex]1\frac{7}{4}[/tex].
Step-by-step explanation:
Given : [tex]6\frac{3}{4}[/tex] , [tex]2\frac{1}{4}[/tex] and [tex]1\frac{3}{4}[/tex].
To find : What is the reciprocal of each mixed number.
Solution : We have given [tex]6\frac{3}{4}[/tex] , [tex]2\frac{1}{4}[/tex] and [tex]1\frac{3}{4}[/tex].
First we convert the mixed fraction in to improper fraction :
For [tex]6\frac{3}{4}[/tex] = [tex]\frac{27}{4}[/tex]
Reciprocal : when the numerator change into denominator and denominator change in to numerator.
So, Reciprocal of [tex]\frac{27}{4}[/tex] is [tex]\frac{4}{27}[/tex].
For [tex]2\frac{1}{4}[/tex] = [tex]\frac{9}{4}[/tex]
Reciprocal of [tex]\frac{9}{4}[/tex] = [tex]\frac{4}{9}[/tex] .
For [tex]1\frac{3}{4}[/tex] =[tex]1\frac{7}{4}[/tex].
Reciprocal of [tex]1\frac{7}{4}[/tex] is [tex]1\frac{4}{7}[/tex].
Therefore, [tex]\frac{27}{4}[/tex] , [tex]\frac{9}{4}[/tex] , [tex]1\frac{7}{4}[/tex].
