Which is greater $3 : 7 o r 5 : 9 ?$

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Solution

Compairing the given ratios
Given that ,
$3 : 7 = \frac{3}{7}$
$5 : 9 = \frac{5}{9}$
LCM of $7 & 9 = 63$
Make denominators equal to $63$
$\frac{3}{7} = \frac{3}{7} \times \frac{9}{9} = \frac{27}{63}$
$\frac{5}{9} = \frac{5}{9} \times \frac{7}{7} = \frac{35}{63}$
Here, $\frac{35}{63} > \frac{27}{63}$
Hence, $5 : 9$ is greater than $3 : 7$ .

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