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Arrange the following values in ascending order. ​356, 266, 212, 2263 \frac56,\ \frac{26}6,\ 2 \frac12,\ \frac{22}6365​, 626​,&nb
Question

Arrange the following values in ascending order.
356, 266, 212, 2263 \frac56,\ \frac{26}6,\ 2 \frac12,\ \frac{22}6​​

A.

212<266<356<2262 \frac12<\frac{26}6<3 \frac56<\frac{22}6​​

B.

356<266<212<2663 \frac56<\frac{26}6<2 \frac12<\frac{26}6​​

C.

212<226<356<2662 \frac12<\frac{22}6<3 \frac56<\frac{26}6​​

D.

212<226<266<3562 \frac12<\frac{22}6<\frac{26}6<3 \frac56​​

Correct option is C

Given:
Values: 356,266,212,2263 \frac{5}{6}, \frac{26}{6}, 2 \frac{1}{2}, \frac{22}{6}​​
Solution:
Convert all values into fractions with a common denominator of 6.
First value: 356=3×6+56=2363 \frac{5}{6} = \frac{3 × 6 + 5}{6} = \frac{23}{6}​​
Second value is already in the correct format: 266\frac{26}{6}​​
Third value: 212=52=5×32×3=1562 \frac{1}{2} = \frac{5}{2} = \frac{5 × 3}{2 × 3} = \frac{15}{6}​​
Fourth value is already in the correct format: 226 \frac{22}{6}​​
Compare the numerators to arrange them in ascending order: 15 < 22 < 23 < 26.
156<226<236<266\frac{15}{6} < \frac{22}{6} < \frac{23}{6} < \frac{26}{6}​​
Substitute the original formats back into the sequence.
212<226<356<2662 \frac{1}{2} < \frac{22}{6} < 3 \frac{5}{6} < \frac{26}{6}​​
Final Answer
So the correct answer is (c)

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