Basic Math Examples

$- \frac{4}{5} + \frac{3}{9}$

Step 1

Cancel the common factor of $3$ and $9$ .

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Step 1.1

Factor $3$ out of $3$ .

$- \frac{4}{5} + \frac{3 (1)}{9}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $9$ .

$- \frac{4}{5} + \frac{3 \cdot 1}{3 \cdot 3}$

Step 1.2.2

Cancel the common factor.

$- \frac{4}{5} + \frac{3 \cdot 1}{3 \cdot 3}$

Step 1.2.3

Rewrite the expression.

$- \frac{4}{5} + \frac{1}{3}$

Step 2

To write $- \frac{4}{5}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$- \frac{4}{5} \cdot \frac{3}{3} + \frac{1}{3}$

Step 3

To write $\frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- \frac{4}{5} \cdot \frac{3}{3} + \frac{1}{3} \cdot \frac{5}{5}$

Step 4

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

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Step 4.1

Multiply $\frac{4}{5}$ by $\frac{3}{3}$ .

$- \frac{4 \cdot 3}{5 \cdot 3} + \frac{1}{3} \cdot \frac{5}{5}$

Step 4.2

Multiply $5$ by $3$ .

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

Step 4.3

Multiply $\frac{1}{3}$ by $\frac{5}{5}$ .

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

Step 4.4

Multiply $3$ by $5$ .

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

Step 5

Combine the numerators over the common denominator.

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

Step 6

Simplify the numerator.

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Step 6.1

Multiply $- 4$ by $3$ .

$\frac{- 12 + 5}{15}$

Step 6.2

Add $- 12$ and $5$ .

$\frac{- 7}{15}$

Step 7

Move the negative in front of the fraction.

$- \frac{7}{15}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{7}{15}$

Decimal Form:

$- 0.4\overline{6}$