What is the result of multiplying 1/9 by 7/8?

To find the result of multiplying two fractions, you multiply the numerators together and the denominators together.

In this case, when you multiply ( \frac{1}{9} ) by ( \frac{7}{8} ), you multiply the numerator 1 by 7, which gives you 7. Then you multiply the denominator 9 by 8, which gives you 72. Therefore, the result of multiplying these two fractions is ( \frac{7}{72} ).

This shows why ( \frac{7}{72} ) is the correct answer, as it follows the rules for multiplying fractions properly, producing the result directly from the multiplication of the numerators and denominators. The calculations align with the fundamental principles of fraction multiplication, ensuring that the answer reflects the correct relationship derived from the two original fractions.