Answer: The equivalent fraction of 7/9 and 5/6 is 29/18.
Explanation:
To find the equivalent fraction, we can use the following steps:
Find the least common multiple (LCM) of the denominators of the two fractions. In this case, the LCM of 9 and 6 is 18.
Convert the fractions to have the same denominator as the LCM. To do this, we multiply the numerator and denominator of each fraction by a factor that makes the denominator equal to the LCM. For 7/9, we multiply the numerator and denominator by 2 to get 14/18. For 5/6, we multiply the numerator and denominator by 3 to get 15/18.
The two fractions now have the same denominator, so we can add their numerators together to get the equivalent fraction.
14/18 + 15/18 = 29/18.
Therefore, the equivalent fraction of 7/9 and 5/6 is 29/18.