Answer: 18
Step-by-step explanation:
The least common denominator of [tex]\frac{7}{9}[/tex] and [tex]\frac{5}{6}[/tex] is going to be a multiple of 9 and 6. Let us list them out:
9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90
6: 6, 12, 18, 24, 30, 36, 42, 28, 54, 60
You can see I bolded and underlined 18. Why? This is the first common multiple of 9 and 6 so it is our least common denominator (LCD).