Basic Math Examples

$\frac{5}{11} z - 1 = \frac{16}{11}$

Step 1

Combine $\frac{5}{11}$ and $z$ .

$\frac{5 z}{11} - 1 = \frac{16}{11}$

Step 2

Move all terms not containing $z$ to the right side of the equation.

Tap for more steps...

Step 2.1

Add $1$ to both sides of the equation.

$\frac{5 z}{11} = \frac{16}{11} + 1$

Step 2.2

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

$\frac{5 z}{11} = \frac{16}{11} + \frac{11}{11}$

Step 2.3

Combine the numerators over the common denominator.

$\frac{5 z}{11} = \frac{16 + 11}{11}$

Step 2.4

Add $16$ and $11$ .

$\frac{5 z}{11} = \frac{27}{11}$

Step 3

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$5 z = 27$

Step 4

Divide each term in $5 z = 27$ by $5$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $5 z = 27$ by $5$ .

$\frac{5 z}{5} = \frac{27}{5}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of $5$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{5 z}{5} = \frac{27}{5}$

Step 4.2.1.2

Divide $z$ by $1$ .

$z = \frac{27}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$z = \frac{27}{5}$

Decimal Form:

$z = 5.4$

Mixed Number Form:

$z = 5 \frac{2}{5}$