Final answer:
To compare 7/9 and 0.6, convert 0.6 to a fraction (3/5) and find a common denominator of 45. Then, compare the fractions 35/45 and 27/45. The answer is that 7/9 is greater than 0.6 or 3/5.
Step-by-step explanation:
To compare 7/9 and 0.6, we can convert both fractions and decimals to a common form. One way to do this is by converting 0.6 to a fraction. Since 0.6 is equivalent to 6/10, we can simplify it to 3/5.
Now we have 7/9 and 3/5. To compare these fractions, we can find a common denominator. The least common multiple of 9 and 5 is 45. So, we need to convert 7/9 and 3/5 to fractions with a denominator of 45.
Multiplying the numerator and denominator of 7/9 by 5, we get 35/45. Multiplying the numerator and denominator of 3/5 by 9, we get 27/45. Now we can see that 35/45 is greater than 27/45. Therefore, 7/9 is greater than 0.6 or 3/5.