7 14/25-(3 8/15+1 9/10)=24,127

Let's evaluate the left-hand side step by step (using mixed numbers to fractions).

• 7 14/25 = 7 + 14/25 = (7·25 + 14)/25 = 189/25
• 3 8/15 = (3·15 + 8)/15 = 53/15
• 1 9/10 = (1·10 + 9)/10 = 19/10

Inside parentheses: 53/15 + 19/10 = (106/30) + (57/30) = 163/30

Now subtract: 189/25 − 163/30 = (189·6)/150 − (163·5)/150 = 1134/150 − 815/150 = 319/150

So the left-hand side equals 319/150, which is:

• as an improper fraction: 319/150
• as a mixed number: 2 19/150
• as a decimal: 2.126666... (2.1266... with 6 repeating)

Conclusion: 7 14/25 − (3 8/15 + 1 9/10) = 2.126666..., i.e., 319/150. This is not equal to 24,127 (whether that means 24,127 as a plain integer, or 24.127 as a decimal). If you meant RHS to be 2.126666... (or 2 19/150), that would make the equation true. If you meant a different RHS, please clarify.