Algebra Examples

$1 - \frac{2}{3} + \frac{4}{9} - \frac{8}{27} + d o t s$

Step 1

Write $1$ as a fraction with a common denominator.

$\frac{3}{3} - \frac{2}{3} + \frac{4}{9} - \frac{8}{27} + d o t s$

Step 2

Combine the numerators over the common denominator.

$\frac{3 - 2}{3} + \frac{4}{9} - \frac{8}{27} + d o t s$

Step 3

Subtract $2$ from $3$ .

$\frac{1}{3} + \frac{4}{9} - \frac{8}{27} + d o t s$

Step 4

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

$\frac{1}{3} \cdot \frac{3}{3} + \frac{4}{9} - \frac{8}{27} + d o t s$

Step 5

Write each expression with a common denominator of $9$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 5.1

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

$\frac{3}{3 \cdot 3} + \frac{4}{9} - \frac{8}{27} + d o t s$

Step 5.2

Multiply $3$ by $3$ .

$\frac{3}{9} + \frac{4}{9} - \frac{8}{27} + d o t s$

Step 6

Combine the numerators over the common denominator.

$\frac{3 + 4}{9} - \frac{8}{27} + d o t s$

Step 7

Add $3$ and $4$ .

$\frac{7}{9} - \frac{8}{27} + d o t s$

Step 8

To write $\frac{7}{9}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{7}{9} \cdot \frac{3}{3} - \frac{8}{27} + d o t s$

Step 9

Write each expression with a common denominator of $27$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 9.1

Multiply $\frac{7}{9}$ by $\frac{3}{3}$ .

$\frac{7 \cdot 3}{9 \cdot 3} - \frac{8}{27} + d o t s$

Step 9.2

Multiply $9$ by $3$ .

$\frac{7 \cdot 3}{27} - \frac{8}{27} + d o t s$

Step 10

Combine the numerators over the common denominator.

$\frac{7 \cdot 3 - 8}{27} + d o t s$

Step 11

Simplify the numerator.

Tap for more steps...

Step 11.1

Multiply $7$ by $3$ .

$\frac{21 - 8}{27} + d o t s$

Step 11.2

Subtract $8$ from $21$ .

$\frac{13}{27} + d o t s$