Question

Let's compare 7/9 and 5/6. First, write the fractions with the same denominator. 7/9 = 5/6= Then, use <, =, or > to compare the fractions. 7/9 5/6

Answer 1

To compare 7/9 and 5/6, we find common denominators and convert the fractions to 14/18 and 15/18, respectively. Since 14 < 15, we determine that 7/9 is less than 5/6.

Step-by-step explanation:

To compare the fractions 7/9 and 5/6, we need to write them with the same denominator. To find a common denominator for 9 and 6, we can use 18, as it is the least common multiple of both numbers. Thus, we convert each fraction by finding an equivalent fraction with 18 as the denominator.

For 7/9, we multiply both the numerator and the denominator by 2 to get:
7/9 = (7×2)/(9×2) = 14/18

For 5/6, we multiply both the numerator and the denominator by 3 to get:
5/6 = (5×3)/(6×3) = 15/18

Now with the same denominator, we can compare the numerators directly. Since 14 is less than 15, we conclude:
7/9 < 5/6

Answer 2

7/9 < 5/6

Step-by-step explanation:

The denominator is the common factor of the denominators

That is 54

So we have

7/9 * 6/6 = 42/54

5/6 * 9/9 = 45/54

So, the relation we have is that;

7/9 < 5/6