Answer:
m= 2 43/63
Explanation:
steps
6 1/9 = 3 3/7 + m
convert mixed numbers into improper fractions 6 1/9 = 55/9
55/9 = 3 3/7 + m
convert mixed numbers into improper fractions 3 3/7 = 24/7
55/9 = 24/7 + m
switch sides
24/7 + m = 55/9
subtract 24/7 from both sides
24/7 + m - 24/7 = 55/9 - 24/7
simplify
m = 169/63
convert improper fraction to mixed number
169/63 = 2 43/63
so your final answer is 2 43/63
Hope that helps!