Question

beatrice is twice the height of violet and violet is 2/3 the height of georgia. What fraction of georgia's height is beatrice's height

Answer 1

Step-by-step explanation:

$\: \: \: \: \: \: beatrice = 2 \times violet \\ \\ \therefore \: violet = \frac{1}{2} \times beatrice....(1) \\ \\ \: \: \: \: \: violet = \frac{2}{3} \times georgia....(2) \\ from \: (1) \: and \: (2) \\ \frac{2}{3} \times georgia = \frac{1}{2} \times beatric \\ \therefore \: georgia = \frac{3}{4} \times beatric$

Therefore, Georgia's height is three-fourth of Beatrice's height.