Basic Math Examples

$\frac{7 z + 30}{6 z} - \frac{z - 1}{6 z}$

Step 1

Combine the numerators over the common denominator.

$\frac{7 z + 30 - (z - 1)}{6 z}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\frac{7 z + 30 - z - - 1}{6 z}$

Step 2.2

Multiply $- 1$ by $- 1$ .

$\frac{7 z + 30 - z + 1}{6 z}$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $z$ from $7 z$ .

$\frac{6 z + 30 + 1}{6 z}$

Step 3.2

Add $30$ and $1$ .

$\frac{6 z + 31}{6 z}$