You haven't given us much information to work from, but assuming you have been inserting UTF-8 data into latin1 columns over a latin1 connection you can do the following.
Given a posts table like:
CREATE TABLE posts (
id INT UNSIGNED NOT NULL AUTO_INCREMENT PRIMARY KEY,
subject VARCHAR(255) NOT NULL,
body TEXT NOT NULL
) DEFAULT CHARSET=latin1;
You can create a new table like:
CREATE TABLE posts_utf8 (
id INT UNSIGNED NOT NULL AUTO_INCREMENT PRIMARY KEY,
subject VARCHAR(255) NOT NULL,
body TEXT NOT NULL
) DEFAULT CHARSET=utf8mb4;
And then populate it with:
INSERT INTO posts_utf8
SELECT id,
CONVERT(BINARY subject USING utf8mb4),
CONVERT(BINARY body USING utf8mb4)
FROM posts;
If you are happy with the content of the new table you can then switch them over:
RENAME TABLE posts TO posts_old, posts_utf8 TO posts;