Algebra Examples

$\frac{b}{5 h} = f + g$

Step 1

Multiply both sides by $5 h$ .

$\frac{b}{5 h} (5 h) = (f + g) (5 h)$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $\frac{b}{5 h} (5 h)$ .

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Step 2.1.1.1

Rewrite using the commutative property of multiplication.

$5 \frac{b}{5 h} h = (f + g) (5 h)$

Step 2.1.1.2

Cancel the common factor of $5$ .

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Step 2.1.1.2.1

Factor $5$ out of $5 h$ .

$5 \frac{b}{5 (h)} h = (f + g) (5 h)$

Step 2.1.1.2.2

Cancel the common factor.

$5 \frac{b}{5 h} h = (f + g) (5 h)$

Step 2.1.1.2.3

Rewrite the expression.

$\frac{b}{h} h = (f + g) (5 h)$

Step 2.1.1.3

Cancel the common factor of $h$ .

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Step 2.1.1.3.1

Cancel the common factor.

$\frac{b}{h} h = (f + g) (5 h)$

Step 2.1.1.3.2

Rewrite the expression.

$b = (f + g) (5 h)$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $(f + g) (5 h)$ .

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Step 2.2.1.1

Apply the distributive property.

$b = f (5 h) + g (5 h)$

Step 2.2.1.2

Reorder.

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Step 2.2.1.2.1

Rewrite using the commutative property of multiplication.

$b = 5 f h + g (5 h)$

Step 2.2.1.2.2

Rewrite using the commutative property of multiplication.

$b = 5 f h + 5 g h$