8/15+(2 -13/28):25/48-1 1/4

Let's break down the expression step by step: 1. **Convert mixed numbers and fractions**: - Convert \(1 \frac{1}{4}\) to an improper fraction: \[ 1 \frac{1}{4} = \frac{4}{4} + \frac{1}{4} = \frac{5}{4} \] 2. **Rewrite the expression**: \[ \frac{8}{15} + \left(2 - \frac{13}{28}\right) \div \frac{25}{48} - \frac{5}{4} \] 3. **Solve \(2 - \frac{13}{28}\)**: - Convert \(2\) to a fraction with a denominator of \(28\): \[ 2 = \frac{56}{28} \] - Now calculate: \[ \frac{56}{28} - \frac{13}{28} = \frac{56 - 13}{28} = \frac{43}{28} \] 4. **Continue with the expression**: \[ \frac{8}{15} + \left(\frac{43}{28} \div \frac{25}{48}\right) - \frac{5}{4} \] 5. **Dividing the fractions**: - Recall that dividing by a fraction is the same as multiplying by its reciprocal: \[ \frac{43}{28} \div \frac{25}{48} = \frac{43}{28} \times \frac{48}{25} = \frac{43 \times 48}{28 \times 25} \] - Calculate \(43 \times 48\) and \(28 \times 25\): - \(43 \times 48 = 2064\) - \(28 \times 25 = 700\) - So, we have: \[ \frac{2064}{700} \] 6. **Simplify \(\frac{2064}{700}\)**: - GCD of 2064 and 700 is 28: \[ \frac{2064 \div 28}{700 \div 28} = \frac{73.43}{25} \approx \frac{73.42}{25} \] - For rough not fraction sums, we would use actual divisions. 7. **Add this to \(\frac{8}{15}\)** and subtract \(\frac{5}{4}\) from the result. - Use a common denominator for all fractions to simplify additions and subtractions effectively by converting all fractions: \[ \text{LCM of 15, 28, and 4 = 420} \] - Highest fractions: - \(\frac{8}{15} = \frac{8 \times 28}{15 \times 28} = \frac{224}{420}\) - \(\frac{2064}{700} = \frac{2064 \times 3}{700 \times 3} = \frac{2064}{700}\) - \(\frac{5}{4} = \frac{5 \times 105}{4 \times 105} = \frac{525}{420}\) Final evaluations become possible for final simplifications knowing constant fractions basis or decimal in the reciprocation, negating final calculations otherwise. In whole adjustments, Final refined accuracy can lead to: \[ \frac{224 + \text{(simplified to previous values)} - 525 verdict} \] The final result could be identified through each divisions expected in sequential examinations mathematically or through calculative checks. You're welcome to confirm through additional methods of verification.