To solve the expression \( \frac{5}{6} + x + \frac{2}{15} \), we first need to combine the fractions \( \frac{5}{6} \) and \( \frac{2}{15} \).
-
Find a common denominator for the fractions \( \frac{5}{6} \) and \( \frac{2}{15} \). The least common multiple (LCM) of 6 and 15 is 30.
-
Convert \( \frac{5}{6} \) to have a denominator of 30: \[ \frac{5}{6} = \frac{5 \times 5}{6 \times 5} = \frac{25}{30} \]
-
Convert \( \frac{2}{15} \) to have a denominator of 30: \[ \frac{2}{15} = \frac{2 \times 2}{15 \times 2} = \frac{4}{30} \]
-
Now, add the two fractions: \[ \frac{25}{30} + \frac{4}{30} = \frac{25 + 4}{30} = \frac{29}{30} \]
-
Now we can combine the result with \( x \): \[ \frac{5}{6} + x + \frac{2}{15} = \frac{29}{30} + x \]
Thus, the final expression is: \[ x + \frac{29}{30} \]
1 answer