Question

Which is largest amongst 5/8, 2/3, 7/9, 3/5 ?

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Answer 1

Answer:

$\frac{7}{9}\text{ is largest number}$

Step-by-step explanation:

Which is largest amongst 5/8, 2/3, 7/9, 3/5 ?

$\text{L.C.M of 8,3,9 and 5= }2^3\times3^2\times5=8\times9\times5=360$

$\frac{5}{8}=\frac{5\times45}{8\times45}=\frac{225}{360}$

$\frac{2}{3}=\frac{2\times120}{3\times120}=\frac{240}{360}$

$\frac{7}{9}=\frac{7\times40}{9\times40}=\frac{280}{360}$

$\frac{3}{5}=\frac{3\times72}{5\times72}=\frac{216}{360}$

Now,

$216<225<240<280$

$\implies\:\frac{216}{360}<\frac{225}{360}<\frac{240}{360}<\frac{280}{360}$

$\implies\:\frac{3}{5}<\frac{5}{8}<\frac{2}{3}<\frac{7}{9}$

$\therefore\bf{\frac{7}{9}\text{ is largest number}}$