Respuesta :
we are given
[tex] \frac{5}{9}-\frac{3}{8} [/tex]
step-1: Firstly , we will find common denominator
we can see that denominators are 9 and 8
so, we will find LCM of 9 and 8
LCM(9,8)=72
step-2: now, we will make each denominators =72
so, in order to make denominator =72 , we will multiply by 8 in top and bottom of first term
and we multiply by 9 in top and bottom of second term
we get
[tex] \frac{5*8}{9*8}-\frac{3*9}{8*9} [/tex]
[tex] \frac{40}{72}-\frac{27}{72} [/tex]
step-3: We can see that both denominators are same
so, we can combine numerators by having common denominators
[tex] =\frac{40-27}{72} [/tex]
[tex] =\frac{13}{72} [/tex]
so, we get
[tex] \frac{5}{9}-\frac{3}{8}=\frac{13}{72} [/tex]..............Answer