To simplify this expression, first convert all mixed numbers to improper fractions:
6 1/2 = 13/2
1 1/5 = 6/5
5 1/5 = 26/5
Then, multiply 13/2 by 6/5:
(13/2) * (6/5) = 39/5
Finally, divide the result by 26/5:
(39/5) ÷ (26/5) = 39/5 * 5/26
= 39/26
Therefore, the simplified expression is 39/26.
Simplify 6 1/2 × 1 1/5 ÷ 5 1/5
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