Simplify -2/7+(3/7-5/9)

$- \frac{2}{7} + (\frac{3}{7} - \frac{5}{9})$

Step 1

Remove parentheses.

$- \frac{2}{7} + \frac{3}{7} - \frac{5}{9}$

Step 2

Combine the numerators over the common denominator.

$\frac{- 2 + 3}{7} + \frac{- 5}{9}$

Step 3

Simplify the expression.

Add $- 2$ and $3$ .

$\frac{1}{7} + \frac{- 5}{9}$

Move the negative in front of the fraction.

$\frac{1}{7} - \frac{5}{9}$

Step 4

To write $\frac{1}{7}$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\frac{1}{7} \cdot \frac{9}{9} - \frac{5}{9}$

Step 5

To write $- \frac{5}{9}$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{1}{7} \cdot \frac{9}{9} - \frac{5}{9} \cdot \frac{7}{7}$

Step 6

Write each expression with a common denominator of $63$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{7}$ by $\frac{9}{9}$ .

$\frac{9}{7 \cdot 9} - \frac{5}{9} \cdot \frac{7}{7}$

Multiply $7$ by $9$ .

$\frac{9}{63} - \frac{5}{9} \cdot \frac{7}{7}$

Multiply $\frac{5}{9}$ by $\frac{7}{7}$ .

$\frac{9}{63} - \frac{5 \cdot 7}{9 \cdot 7}$

Multiply $9$ by $7$ .

$\frac{9}{63} - \frac{5 \cdot 7}{63}$

Step 7

Combine the numerators over the common denominator.

$\frac{9 - 5 \cdot 7}{63}$

Step 8

Simplify the numerator.

Multiply $- 5$ by $7$ .

$\frac{9 - 35}{63}$

Subtract $35$ from $9$ .

$\frac{- 26}{63}$

Step 9

Move the negative in front of the fraction.

$- \frac{26}{63}$

Step 10

The result can be shown in multiple forms.

Exact Form:

$- \frac{26}{63}$

Decimal Form:

$- 0.\overline{412698}$

Simplify -2/7+(3/7-5/9)

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