answer completely. (3)/(5)-(3)/(10)

Identify Given Expression: Identify the given expression and the operation to be performed. We need to subtract (3)/(10) from (3)/(5).Find Common Denominator: Find a common denominator for the fractions (3)/(5) and (3)/(10). The least common denominator (LCD) for 5 and 10 is 10.Convert to Common Denominator: Convert (3)/(5) to a fraction with the denominator 10. To do this, multiply both the numerator and the denominator by 2. (3)/(5) * (2)/(2) = (6)/(10).Subtract Numerators: Now that both fractions have the same denominator, subtract the numerators. (6)/(10) - (3)/(10) = (6 - 3)/(10).Perform Subtraction: Perform the subtraction in the numerator. 6 - 3 = 3.Write Result: Write the result as a fraction. (3)/(10).

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Find the difference. Simplify your answer completely. $\newline$ $\frac{3}{5}-\frac{3}{10}$

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Precalculus

Operations with rational exponents

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Q. Find the difference. Simplify your answer completely.

\newline

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

Identify Given Expression: Identify the given expression and the operation to be performed. $\newline$ We need to subtract $\frac{3}{10}$ from $\frac{3}{5}$ .
Find Common Denominator: Find a common denominator for the fractions $(\frac{3}{5})$ and $(\frac{3}{10})$ . $\newline$ The least common denominator (LCD) for $5$ and $10$ is $10$ .
Convert to Common Denominator: Convert $(\frac{3}{5})$ to a fraction with the denominator $10$ . $\newline$ To do this, multiply both the numerator and the denominator by $2$ . $\newline$ $(\frac{3}{5}) \times (\frac{2}{2}) = (\frac{6}{10})$ .
Subtract Numerators: Now that both fractions have the same denominator, subtract the numerators. $(\frac{6}{10}) - (\frac{3}{10}) = (\frac{6 - 3}{10})$ .
Perform Subtraction: Perform the subtraction in the numerator. $6 - 3 = 3$ .
Write Result: Write the result as a fraction. $\newline$ $(\frac{3}{10})$ .