Algebra Examples

$- \frac{4}{5} + \frac{3}{10}$

Step 1

To write $- \frac{4}{5}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- \frac{4}{5} \cdot \frac{2}{2} + \frac{3}{10}$

Step 2

Write each expression with a common denominator of $10$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{4}{5}$ by $\frac{2}{2}$ .

$- \frac{4 \cdot 2}{5 \cdot 2} + \frac{3}{10}$

Step 2.2

Multiply $5$ by $2$ .

$- \frac{4 \cdot 2}{10} + \frac{3}{10}$

Step 3

Combine the numerators over the common denominator.

$\frac{- 4 \cdot 2 + 3}{10}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $- 4$ by $2$ .

$\frac{- 8 + 3}{10}$

Step 4.2

Add $- 8$ and $3$ .

$\frac{- 5}{10}$

Step 5

Cancel the common factor of $- 5$ and $10$ .

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Step 5.1

Factor $5$ out of $- 5$ .

$\frac{5 (- 1)}{10}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $5$ out of $10$ .

$\frac{5 \cdot - 1}{5 \cdot 2}$

Step 5.2.2

Cancel the common factor.

$\frac{5 \cdot - 1}{5 \cdot 2}$

Step 5.2.3

Rewrite the expression.

$\frac{- 1}{2}$

Step 6

Move the negative in front of the fraction.

$- \frac{1}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{2}$

Decimal Form:

$- 0.5$