Identify Common Denominator: Identify the common denominator for the fractions (3)/(5) and (3)/(10). The common denominator is 10 because 5 is a factor of 10.Convert Fraction to Common Denominator: Convert the fraction (3)/(5) to have the common denominator of 10. To do this, multiply both the numerator and the denominator by 2. This gives us (3 * 2)/(5 * 2) = (6)/(10).Subtract Numerators: Now that both fractions have the same denominator, subtract the numerators. This gives us (6)/(10) - (3)/(10) = (6 - 3)/(10).Perform Subtraction: Perform the subtraction in the numerator. This gives us (6 - 3)/(10) = (3)/(10).Check for Simplification: Check if the fraction (3)/(10) can be simplified. Since 3 and 10 have no common factors other than 1, the fraction is already in its simplest form.

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$\frac{3}{5}-\frac{3}{10}$

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\frac{3}{5}-\frac{3}{10}

Identify Common Denominator: Identify the common denominator for the fractions $(\frac{3}{5})$ and $(\frac{3}{10})$ . The common denominator is $10$ because $5$ is a factor of $10$ .
Convert Fraction to Common Denominator: Convert the fraction $(\frac{3}{5})$ to have the common denominator of $10$ . To do this, multiply both the numerator and the denominator by $2$ . This gives us $(\frac{3 \times 2}{5 \times 2}) = (\frac{6}{10})$ .
Subtract Numerators: Now that both fractions have the same denominator, subtract the numerators. This gives us $(\frac{6}{10}) - (\frac{3}{10}) = (\frac{6 - 3}{10})$ .
Perform Subtraction: Perform the subtraction in the numerator. This gives us $(6 - 3)/(10) = (3)/(10)$ .
Check for Simplification: Check if the fraction $(3)/(10)$ can be simplified. Since $3$ and $10$ have no common factors other than $1$ , the fraction is already in its simplest form.