Question

simplify: (1/2)^-2+(2/3)^-2+(3/)^-2

Answer 1

Answer:

(1/2)^-2+(2/3)^-2+(3/)^-2

$[\frac{1}{2}]^{-2}$ + $[\frac{2}{3}]^{-2}$ + $[\frac{3}{2}]^{-2}$

= 2²+$[\frac{3}{2}]^{2}$ + $[\frac{2}{3}]^{2}$

= 4+$\frac{9}{4} +\frac{4}{9}$

LCM = 36

= $\frac{144}{36}$+$\frac{81}{36}$ +$\frac{16}{36}$

= 196/36

= 49/9

= 5 4/9