Subtract. 1/10 3/5=_____

Identify Common Denominator: Identify the common denominator for 1/10 and 3/5. The common denominator for 10 and 5 is 10, since 5 is a factor of 10.Convert to Denominator 10: Convert 3/5 to a fraction with a denominator of 10. To do this, multiply both the numerator and the denominator by 2. 3/5 * 2/2 = 6/10Subtract Fractions: Subtract 6/10 from 1/10. Now that both fractions have the same denominator, we can subtract their numerators. 1/10 - 6/10 = (1 - 6)/10Perform Numerator Subtraction: Perform the subtraction in the numerator. 1 - 6 = -5 So, 1/10 - 6/10 = -5/10Simplify Result: Simplify the result, if possible. -5/10 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 5. -5/10 = (-5/5) / (10/5) = -1/2

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Subtract. $\newline$ $\frac{1}{10} - \frac{3}{5} =$ _____

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Algebra 1

Add and subtract rational numbers

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Q. Subtract.

\newline

\frac{1}{10} - \frac{3}{5} =

_____

Identify Common Denominator: Identify the common denominator for $\frac{1}{10}$ and $\frac{3}{5}$ . The common denominator for $10$ and $5$ is $10$ , since $5$ is a factor of $10$ .
Convert to Denominator $10$ : Convert $\frac{3}{5}$ to a fraction with a denominator of $10$ . To do this, multiply both the numerator and the denominator by $2$ . $\frac{3}{5} \times \frac{2}{2} = \frac{6}{10}$
Subtract Fractions: Subtract $\frac{6}{10}$ from $\frac{1}{10}$ . $\newline$ Now that both fractions have the same denominator, we can subtract their numerators. $\newline$ $\frac{1}{10} - \frac{6}{10} = \frac{(1 - 6)}{10}$
Perform Numerator Subtraction: Perform the subtraction in the numerator. $\newline$ $1 - 6 = -5$ $\newline$ So, $\frac{1}{10} - \frac{6}{10} = \frac{-5}{10}$
Simplify Result: Simplify the result, if possible. $\newline$ $-\frac{5}{10}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $5$ . $\newline$ $-\frac{5}{10} = \frac{-5}{5} / \frac{10}{5} = -\frac{1}{2}$