Question

which ration is greater 5:6 or 6:7​

Answer 1

Answer:

5:6 = 5/7 & 6:7 = 6/7

$\frac{5}{6} \: and \: \frac{6}{7} \\ make \: the \: denominator \: same \: by \: lcm \\ we \: will \: get \: 42 \: as \: lcm \\ \\ \frac{5 \times 7}{6 \times 7} \: \: and \: \: \frac{6 \times 6}{7 \times 6} \\ we \: will \: get \\ \frac{35}{42} \: \: \: and \: \: \frac{36}{42} \\ \\ \frac{35}{42} < \frac{36}{42} \\ \\ \frac{5}{6} < \: \frac{6}{7}$

So we can say that 5:6 < 6:7

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Answer 2

Hence 6:7 is the greatest ratio

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