Basic Math Examples

$\frac{5 b - 3 y}{6 b} - \frac{b - 10 y}{6 b}$

Step 1

Combine the numerators over the common denominator.

$\frac{5 b - 3 y - (b - 10 y)}{6 b}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\frac{5 b - 3 y - b - (- 10 y)}{6 b}$

Step 2.2

Multiply $- 10$ by $- 1$ .

$\frac{5 b - 3 y - b + 10 y}{6 b}$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $b$ from $5 b$ .

$\frac{4 b - 3 y + 10 y}{6 b}$

Step 3.2

Add $- 3 y$ and $10 y$ .

$\frac{4 b + 7 y}{6 b}$