Arithmetic › Order of operations › Multiplication and division chains

Smallest integer from parenthesised divisions

Middle school · ●●●●○ 100 pts

In the expression 10:9:8:7:6:5:4:3:2:110:9:8:7:6:5:4:3:2:1, where :: denotes division, parentheses are placed so that the value of the expression is an integer. What is the smallest value that could have been obtained?

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fractions