Arithmetic › Order of operations › Multiplication and division chains

Smallest integer from parenthesized division chain

High school · ●●●○○ 50 pts

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

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division of fractions