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------------------------------------------------ Multiply the fractions \(\frac{5}{9}\) and \(\frac{14}{15}\), and give your answer as a reduced fraction.

To multiply the fractions 5/9 and 14/15, you multiply the numerators to get 70 and the denominators to get 135, yielding 70/135. Upon reducing by the greatest common divisor, which is 5, the reduced fraction is 14/27.

To multiply the fractions 5/9 and 14/15, you multiply the numerators (top numbers) to get the new numerator and the denominators (bottom numbers) to get the new denominator. So, multiplying the numerators, 5 and 14, gives us 70. Multiplying the denominators, 9 and 15, gives us 135. Now we have the fraction 70/135.

To reduce this fraction to its simplest form, we need to find the greatest common divisor (GCD) of the numerator and denominator. The GCD of 70 and 135 is 5. Divide both the numerator and the denominator by 5, which gives us
70/5=14 and 135/5=27. Thus, the reduced fraction is 14/27.

That when you multiply fractions, you multiply the numerators and the denominators and then simplify the resulting fraction by dividing both the numerator and denominator by their greatest common divisor.