Reduce to simplest form. -(1)/(4)-(-(3)/(5))=

Apply Rule and Concept: Apply the subtraction of fractions rule and the concept of subtracting a negative number, which is the same as adding its positive counterpart. -(1/4) - (-(3/5)) = -(1/4) + (3/5)Find Common Denominator: Find a common denominator for the fractions 1/4 and 3/5. The least common denominator (LCD) for 4 and 5 is 20.Convert to Equivalent Fractions: Convert each fraction to an equivalent fraction with the denominator of 20. -(1/4) becomes -(5/20) because 1 * 5 = 5 and 4 * 5 = 20. (3/5) becomes (12/20) because 3 * 4 = 12 and 5 * 4 = 20.Add Fractions: Now add the two fractions with the common denominator. -(5/20) + (12/20) = (12/20) - (5/20)Perform Subtraction: Perform the subtraction. (12/20) - (5/20) = (12 - 5)/20 = 7/20

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Reduce to simplest form.

-(1)/(4)-(-(3)/(5))=

Reduce to simplest form. $\newline$ $-\frac{1}{4}-\left(-\frac{3}{5}\right)=$

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Algebra 1

Simplify linear expressions using properties

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Q. Reduce to simplest form.

\newline

-\frac{1}{4}-\left(-\frac{3}{5}\right)=

Apply Rule and Concept: Apply the subtraction of fractions rule and the concept of subtracting a negative number, which is the same as adding its positive counterpart. $\newline$ $-\frac{1}{4} - (-\frac{3}{5}) = -\frac{1}{4} + \frac{3}{5}$
Find Common Denominator: Find a common denominator for the fractions $\frac{1}{4}$ and $\frac{3}{5}$ . The least common denominator (LCD) for $4$ and $5$ is $20$ .
Convert to Equivalent Fractions: Convert each fraction to an equivalent fraction with the denominator of $20$ .
- $\frac{1}{4}$ becomes - $\frac{5}{20}$ because $1 \times 5 = 5$ and $4 \times 5 = 20$ .
$\frac{3}{5}$ becomes $\frac{12}{20}$ because $3 \times 4 = 12$ and $5 \times 4 = 20$ .
Add Fractions: Now add the two fractions with the common denominator. $\newline$ $-(\frac{5}{20}) + (\frac{12}{20}) = (\frac{12}{20}) - (\frac{5}{20})$
Perform Subtraction: Perform the subtraction. $\newline$ $(\frac{12}{20}) - (\frac{5}{20}) = \frac{12 - 5}{20} = \frac{7}{20}$