Subtract -3/5-(-4/15)

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Algebra

$- \frac{3}{5} - (- \frac{4}{15})$

Multiply $- (- \frac{4}{15})$ .

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Multiply $- 1$ by $- 1$ .

$- \frac{3}{5} + 1 (\frac{4}{15})$

Multiply $\frac{4}{15}$ by $1$ .

$- \frac{3}{5} + \frac{4}{15}$

To write $- \frac{3}{5}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$- \frac{3}{5} \cdot \frac{3}{3} + \frac{4}{15}$

Write each expression with a common denominator of $15$ , by multiplying each by an appropriate factor of $1$ .

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Multiply $\frac{3}{5}$ and $\frac{3}{3}$ .

$- \frac{3 \cdot 3}{5 \cdot 3} + \frac{4}{15}$

Multiply $5$ by $3$ .

$- \frac{3 \cdot 3}{15} + \frac{4}{15}$

Combine the numerators over the common denominator.

$\frac{- 3 \cdot 3 + 4}{15}$

Simplify the numerator.

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Multiply $- 3$ by $3$ .

$\frac{- 9 + 4}{15}$

Add $- 9$ and $4$ .

$\frac{- 5}{15}$

Cancel the common factor of $- 5$ and $15$ .

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Factor $5$ out of $- 5$ .

$\frac{5 (- 1)}{15}$

Cancel the common factors.

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Factor $5$ out of $15$ .

$\frac{5 \cdot - 1}{5 \cdot 3}$

Cancel the common factor.

$\frac{5 \cdot - 1}{5 \cdot 3}$

Rewrite the expression.

$\frac{- 1}{3}$

Move the negative in front of the fraction.

$- \frac{1}{3}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{3}$

Decimal Form:

$- 0.\overline{3}$

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Solve Using the Quadratic Formula 3x^2+2x-3=0