1) 3 8/9 + а = 6 1/9 Convert the mixed numbers to improper fractions: 27/9 + а = 55/9 Combine like terms: 27/9 + а = 55/9 Subtract 27/9 from both sides: а = 55/9 - 27/9 а = 28/9
2) b - 3/17 = 1 16/17 Convert the mixed number to an improper fraction: b - 3/17 = 33/17 Add 3/17 to both sides: b = 33/17 + 3/17 b = 36/17
3) 5 613 - c = 3 11/13 Convert the mixed numbers to improper fractions: 3053 - c = 40/13 Subtract 3053 from both sides: -c = 40/13 - 3053 c = 3053 - 40/13 c = 3077/13
To solve these equations:
1) 3 8/9 + а = 6 1/9
Convert the mixed numbers to improper fractions:
27/9 + а = 55/9
Combine like terms:
27/9 + а = 55/9
Subtract 27/9 from both sides:
а = 55/9 - 27/9
а = 28/9
2) b - 3/17 = 1 16/17
Convert the mixed number to an improper fraction:
b - 3/17 = 33/17
Add 3/17 to both sides:
b = 33/17 + 3/17
b = 36/17
3) 5 613 - c = 3 11/13
Convert the mixed numbers to improper fractions:
3053 - c = 40/13
Subtract 3053 from both sides:
-c = 40/13 - 3053
c = 3053 - 40/13
c = 3077/13