Question

Simplify the expression. $$-\frac{2 b}{7} \div \frac{7}{9}$$

Short answer

-18b/49

Step-by-step solution

Conversion from Division to Multiplication

Instead of dividing by a fraction, multiply by its reciprocal. The reciprocal of \(\frac{7}{9}\) is \(\frac{9}{7}\). So the problem becomes: \(-\frac{2 b}{7} * \frac{9}{7}\).

Apply the Multiplication Rule for Fractions

When multiplying fractions, multiply the numerators (the top numbers) to get the new numerator, and multiply the denominators (the bottom numbers) to get the new denominator. The multiplication of the two given fractions would lead to: \(-\frac{2 b * 9}{7 * 7}\).

Simplify the expression

After performing the multiplication, simplify the expression: \(-\frac{18b}{49}\).