Question

Convert 7/11 to a percent. round the answer to the nearest hundredth

Answer 1

63.64%

Explanation:

7/11 = 7/11 × 100% = (700/11)% ≈ 63.64%

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Comment on fractions involving 11

1/11 is the 2-digit repeating decimal 0.09090909...

So, any multiple of 1/11 is a 2-digit repeating decimal with the two digits being the numerator times 9.

Here, we have 7/11, so the 2-digit repeat is 7·9 = 63. That is ...

... 7/11 = 0.63636363...