Final answer:
The relation symbol to be used to compare the fractions (1)/(5) and (2)/(10) is the subtraction symbol (-). The expression (1)/(5) - (2)/(10) can be simplified to 0/5, which equals 0.
Step-by-step explanation:
The relation symbol to be used to compare the fractions (1)/(5) and (2)/(10) is the subtraction symbol (-). By subtracting the second fraction from the first, we can compare their values.
The expression (1)/(5) - (2)/(10) can be simplified by finding a common denominator for the fractions. Since 5 and 10 have a common multiple of 10, we can rewrite the expression as (2)/(10) - (2)/(10).
Next, we subtract the numerators while keeping the common denominator: (2)/(10) - (2)/(10) = 0/(10).
Finally, we simplify the fraction by canceling out the common factor of 2 in the numerator and denominator, resulting in the fraction 0/5, which equals 0.