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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