Solve 57.3*320*10^3*1000/79.4*1000*frac{3.14{32}*714}=

$$57.3 \times \frac{ 320 \times { 10 }^{ 3 } \times 1000 }{ 79.4 \times 1000 \times \frac{ 3.14 }{ 32 } \times 714 } =$$

Evaluate

$$\frac{24448000000}{7417151}\approx 3296.144301228$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$57.3\times \frac{320\times 1000\times 1000}{79.4\times 1000\times \frac{3.14}{32}\times 714}$$

Multiply 320 and 1000 to get 320000.

$$57.3\times \frac{320000\times 1000}{79.4\times 1000\times \frac{3.14}{32}\times 714}$$

Multiply 320000 and 1000 to get 320000000.

$$57.3\times \frac{320000000}{79.4\times 1000\times \frac{3.14}{32}\times 714}$$

Multiply 79.4 and 1000 to get 79400.

$$57.3\times \frac{320000000}{79400\times \frac{3.14}{32}\times 714}$$

Expand \frac{3.14}{32} by multiplying both numerator and the denominator by 100.

$$57.3\times \frac{320000000}{79400\times \frac{314}{3200}\times 714}$$

Reduce the fraction \frac{314}{3200} to lowest terms by extracting and canceling out 2.

$$57.3\times \frac{320000000}{79400\times \frac{157}{1600}\times 714}$$

Express 79400\times \frac{157}{1600} as a single fraction.

$$57.3\times \frac{320000000}{\frac{79400\times 157}{1600}\times 714}$$

Multiply 79400 and 157 to get 12465800.

$$57.3\times \frac{320000000}{\frac{12465800}{1600}\times 714}$$

Reduce the fraction \frac{12465800}{1600} to lowest terms by extracting and canceling out 200.

$$57.3\times \frac{320000000}{\frac{62329}{8}\times 714}$$

Express \frac{62329}{8}\times 714 as a single fraction.

$$57.3\times \frac{320000000}{\frac{62329\times 714}{8}}$$

Multiply 62329 and 714 to get 44502906.

$$57.3\times \frac{320000000}{\frac{44502906}{8}}$$

Reduce the fraction \frac{44502906}{8} to lowest terms by extracting and canceling out 2.

$$57.3\times \frac{320000000}{\frac{22251453}{4}}$$

Divide 320000000 by \frac{22251453}{4} by multiplying 320000000 by the reciprocal of \frac{22251453}{4}.

$$57.3\times 320000000\times \frac{4}{22251453}$$

Express 320000000\times \frac{4}{22251453} as a single fraction.

$$57.3\times \frac{320000000\times 4}{22251453}$$

Multiply 320000000 and 4 to get 1280000000.

$$57.3\times \frac{1280000000}{22251453}$$

Convert decimal number 57.3 to fraction \frac{573}{10}.

$$\frac{573}{10}\times \frac{1280000000}{22251453}$$

Multiply \frac{573}{10} times \frac{1280000000}{22251453} by multiplying numerator times numerator and denominator times denominator.

$$\frac{573\times 1280000000}{10\times 22251453}$$

Do the multiplications in the fraction \frac{573\times 1280000000}{10\times 22251453}.

$$\frac{733440000000}{222514530}$$

Reduce the fraction \frac{733440000000}{222514530} to lowest terms by extracting and canceling out 30.

$$\frac{24448000000}{7417151}$$

Factor

$$\frac{191 \cdot 2 ^ {13} \cdot 5 ^ {6}}{7 \cdot 17 \cdot 157 \cdot 397} = 3296\frac{1070304}{7417151} = 3296.144301228329$$