Basic Math Examples

$(a + b) r = a + b$

Step 1

Divide each term in $(a + b) r = a + b$ by $a + b$ .

$\frac{(a + b) r}{a + b} = \frac{a}{a + b} + \frac{b}{a + b}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $a + b$ .

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Step 2.1.1

Cancel the common factor.

$\frac{(a + b) r}{a + b} = \frac{a}{a + b} + \frac{b}{a + b}$

Step 2.1.2

Divide $r$ by $1$ .

$r = \frac{a}{a + b} + \frac{b}{a + b}$

Step 3

Simplify the right side.

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Step 3.1

Combine the numerators over the common denominator.

$r = \frac{a + b}{a + b}$

Step 3.2

Cancel the common factor of $a + b$ .

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Step 3.2.1

Cancel the common factor.

$r = \frac{a + b}{a + b}$

Step 3.2.2

Rewrite the expression.

$r = 1$