Solve 573*320*10^3*1000/794*1000*frac{314{32}*714}=

$$573 \times \frac{ 320 \times { 10 }^{ 3 } \times 1000 }{ 794 \times 1000 \times \frac{ 314 }{ 32 } \times 714 } =$$

Evaluate

$$\frac{244480000}{7417151}\approx 32.961443012$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$573\times \frac{320\times 1000\times 1000}{794\times 1000\times \frac{314}{32}\times 714}$$

Multiply 320 and 1000 to get 320000.

$$573\times \frac{320000\times 1000}{794\times 1000\times \frac{314}{32}\times 714}$$

Multiply 320000 and 1000 to get 320000000.

$$573\times \frac{320000000}{794\times 1000\times \frac{314}{32}\times 714}$$

Multiply 794 and 1000 to get 794000.

$$573\times \frac{320000000}{794000\times \frac{314}{32}\times 714}$$

Reduce the fraction \frac{314}{32} to lowest terms by extracting and canceling out 2.

$$573\times \frac{320000000}{794000\times \frac{157}{16}\times 714}$$

Express 794000\times \frac{157}{16} as a single fraction.

$$573\times \frac{320000000}{\frac{794000\times 157}{16}\times 714}$$

Multiply 794000 and 157 to get 124658000.

$$573\times \frac{320000000}{\frac{124658000}{16}\times 714}$$

Divide 124658000 by 16 to get 7791125.

$$573\times \frac{320000000}{7791125\times 714}$$

Multiply 7791125 and 714 to get 5562863250.

$$573\times \frac{320000000}{5562863250}$$

Reduce the fraction \frac{320000000}{5562863250} to lowest terms by extracting and canceling out 250.

$$573\times \frac{1280000}{22251453}$$

Express 573\times \frac{1280000}{22251453} as a single fraction.

$$\frac{573\times 1280000}{22251453}$$

Multiply 573 and 1280000 to get 733440000.

$$\frac{733440000}{22251453}$$

Reduce the fraction \frac{733440000}{22251453} to lowest terms by extracting and canceling out 3.

$$\frac{244480000}{7417151}$$

Factor

$$\frac{2 ^ {11} \cdot 5 ^ {4} \cdot 191}{7 \cdot 17 \cdot 157 \cdot 397} = 32\frac{7131168}{7417151} = 32.96144301228329$$