Rational numbers and repeating decimals

Find the th digit after the decimal point for .

Find the summation from the 1st digit number to th digit number after the decimal point for .

A fraction can be a finite decimal in the form of . When and are natural numbers, find the minimum of .

Find the number of fractions between and that can be represented as finite decimals but not integers, where the denominator of the fractions is .

If two fractions and are multiplied by respectively, then both of them become finite decimals. Find the least natural number for .

Find the number of values of that makes finite decimal, where . Here, is a natural number.

The fraction can be represented as a finite decimals, which of the following can be a natural number ?

can be represented as a finite decimals, and if simplified the numerator will be a multiple of . In this case, what will be the minimum value of ?

Given , what is the value of where are disjoint natural numbers.