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$First, write the subtraction so the fractions have denominator 10. Then subtract.$

First, write the subtraction so the fractions have denominator $10$ . Then subtract.

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Simplify radical expressions using conjugates

Full solution

Q. First, write the subtraction so the fractions have denominator

10

. Then subtract.

Find Common Denominator: Find a common denominator for the fractions involved. Since the problem mentions denominator $10$ , we'll use that. $\newline$ - Convert fractions to have a denominator of $10$ . $\newline$ - Example: $\frac{3}{5}$ becomes $\frac{6}{10}$ because $\frac{3 \times 2}{5 \times 2} = \frac{6}{10}$ .
Subtract Fractions: Subtract the fractions. $\newline$ - Perform the subtraction $\frac{6}{10} - \frac{4}{10}$ . $\newline$ - Calculation: $\frac{6}{10} - \frac{4}{10} = \frac{2}{10}$ .
Simplify Result: Simplify the result. $\newline$ - Simplify $\frac{2}{10}$ to $\frac{1}{5}$ by dividing the numerator and denominator by $2$ . $\newline$ - Calculation: $\frac{2 \div 2}{10 \div 2} = \frac{1}{5}$ .

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