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m= 2 43/63

Step-by-step 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!