Math Problem Solver

\[\frac{800}{1.0933} + \frac{500}{2.0742} + \frac{350}{1.2315} + \frac{300}{6.4307} = \frac{2601351916169800000}{1995446711658907} \approx 1303.64389135061192545263733080756728\]

\[\begin{aligned}\frac{800}{1.0933} + \frac{500}{2.0742} + \frac{350}{1.2315} + \frac{300}{6.4307}& = 800 \cdot \frac{1}{1 + \frac{933}{10000}} + 500 \cdot \frac{1}{2 + \frac{742}{10000}} + 350 \cdot \frac{1}{1 + \frac{2315}{10000}} + 300 \cdot \frac{1}{6 + \frac{4307}{10000}}\\& = 800 \cdot \frac{1}{\frac{10933}{10000}} + 500 \cdot \frac{1}{2 + \frac{742}{10000}} + 350 \cdot \frac{1}{1 + \frac{2315}{10000}} + 300 \cdot \frac{1}{6 + \frac{4307}{10000}}\\& = \frac{8000000}{10933} + 500 \cdot \frac{1}{2 + \frac{742}{10000}} + 350 \cdot \frac{1}{1 + \frac{2315}{10000}} + 300 \cdot \frac{1}{6 + \frac{4307}{10000}}\\& = \frac{8000000}{10933} + 500 \cdot \frac{1}{2 + \frac{371}{5000}} + 350 \cdot \frac{1}{1 + \frac{2315}{10000}} + 300 \cdot \frac{1}{6 + \frac{4307}{10000}}\\& = \frac{8000000}{10933} + 500 \cdot \frac{1}{\frac{10371}{5000}} + 350 \cdot \frac{1}{1 + \frac{2315}{10000}} + 300 \cdot \frac{1}{6 + \frac{4307}{10000}}\\& = \frac{8000000}{10933} + \frac{2500000}{10371} + 350 \cdot \frac{1}{1 + \frac{2315}{10000}} + 300 \cdot \frac{1}{6 + \frac{4307}{10000}}\\& = \frac{8000000}{10933} + \frac{2500000}{10371} + 350 \cdot \frac{1}{1 + \frac{463}{2000}} + 300 \cdot \frac{1}{6 + \frac{4307}{10000}}\\& = \frac{8000000}{10933} + \frac{2500000}{10371} + 350 \cdot \frac{1}{\frac{2463}{2000}} + 300 \cdot \frac{1}{6 + \frac{4307}{10000}}\\& = \frac{8000000}{10933} + \frac{2500000}{10371} + \frac{700000}{2463} + 300 \cdot \frac{1}{6 + \frac{4307}{10000}}\\& = \frac{8000000}{10933} + \frac{2500000}{10371} + \frac{700000}{2463} + 300 \cdot \frac{1}{\frac{64307}{10000}}\\& = \frac{8000000}{10933} + \frac{2500000}{10371} + \frac{700000}{2463} + \frac{3000000}{64307}\\& = \frac{110300500000}{113386143} + \frac{700000}{2463} + \frac{3000000}{64307}\\& = \frac{39004492400000}{31030007801} + \frac{3000000}{64307}\\& = \frac{2601351916169800000}{1995446711658907}\end{aligned}\]