Algebra Examples

$\frac{b + 3}{20 b + 70} \div \frac{7}{20 b + 70}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{b + 3}{20 b + 70} \cdot \frac{20 b + 70}{7}$

Step 2

Cancel the common factor of $20 b + 70$ .

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Step 2.1

Cancel the common factor.

$\frac{b + 3}{20 b + 70} \cdot \frac{20 b + 70}{7}$

Step 2.2

Rewrite the expression.

$(b + 3) \frac{1}{7}$

Step 3

Apply the distributive property.

$b \frac{1}{7} + 3 (\frac{1}{7})$

Step 4

Combine $b$ and $\frac{1}{7}$ .

$\frac{b}{7} + 3 (\frac{1}{7})$

Step 5

Combine $3$ and $\frac{1}{7}$ .

$\frac{b}{7} + \frac{3}{7}$

Step 6

Combine the numerators over the common denominator.

$\frac{b + 3}{7}$