2 3/5 * 6 1/15+1 1/14+1 39/73* (5 5/7-5 1/16)

Let's interpret the expression as: 2 3/5 × 6 1/15 + 1 1/14 + 1 39/73 × (5 5/7 − 5 1/16)

Step 1: Convert to improper fractions

• 2 3/5 = 13/5
• 6 1/15 = 91/15
• 1 1/14 = 15/14
• 1 39/73 = 112/73
• (5 5/7) = 40/7
• (5 1/16) = 81/16
• (5 5/7 − 5 1/16) = 40/7 − 81/16 = 73/112

Step 2: Compute parts

• (13/5) × (91/15) = 1183/75
• (112/73) × (73/112) = 1

So the expression becomes: 1183/75 + 15/14 + 1

Step 3: Combine terms with common denominator Common denominator 1050:

• 1183/75 = 16562/1050
• 15/14 = 1125/1050
• 1 = 1050/1050

Total = (16562 + 1125 + 1050) / 1050 = 18737/1050

Final answer:

• As an improper fraction: 18737/1050
• As a mixed number: 17 887/1050 (gcd(887,1050) = 1)
• Decimal: approximately 17.8448