Answer:
To find the equivalent of 2 4/5 + 4/6, we first need to convert the mixed numbers to improper fractions. To do this, we multiply the whole number part of the mixed number by the denominator of the fraction part, and add the result to the numerator of the fraction part. So 2 4/5 becomes 2 * 5 + 4 = 14/5. Similarly, 4/6 becomes 4 * 1 + 6 = 10/6.
Next, we need to find a common denominator for the two fractions so that we can add them. A common denominator for 14/5 and 10/6 is 30, so we convert both fractions to have a denominator of 30. To convert 14/5 to have a denominator of 30, we multiply the numerator and denominator by 6, which gives us 14 * 6 / 5 * 6 = 84/30. Similarly, we multiply the numerator and denominator of 10/6 by 5 to get 10 * 5 / 6 * 5 = 50/30.
Now that both fractions have a denominator of 30, we can add them to get the equivalent of 2 4/5 + 4/6. This gives us 84/30 + 50/30 = 134/30. Finally, we simplify the fraction to get the final answer, which is 134/30 = 4 8/30 = 4 4/15. So, the equivalent of 2 4/5 + 4/6 is 4 4/15.