Solve 0.3526*2.51div3.642^2div6.02div1000*7627.26

$$0.3526 \times 2.51 \div { 3.642 }^{ 2 } \div 6.02 \div 1000 \times 7627.26$$

Evaluate

$$\frac{1308202211}{15474858000}\approx 0.084537268$$

Solution Steps

Express \frac{\frac{\frac{0.3526\times 2.51}{3.642^{2}}}{6.02}}{1000} as a single fraction.

$$\frac{\frac{0.3526\times 2.51}{3.642^{2}}}{6.02\times 1000}\times 7627.26$$

Multiply 0.3526 and 2.51 to get 0.885026.

$$\frac{\frac{0.885026}{3.642^{2}}}{6.02\times 1000}\times 7627.26$$

Calculate 3.642 to the power of 2 and get 13.264164.

$$\frac{\frac{0.885026}{13.264164}}{6.02\times 1000}\times 7627.26$$

Expand \frac{0.885026}{13.264164} by multiplying both numerator and the denominator by 1000000.

$$\frac{\frac{885026}{13264164}}{6.02\times 1000}\times 7627.26$$

Reduce the fraction \frac{885026}{13264164} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{442513}{6632082}}{6.02\times 1000}\times 7627.26$$

Multiply 6.02 and 1000 to get 6020.

$$\frac{\frac{442513}{6632082}}{6020}\times 7627.26$$

Express \frac{\frac{442513}{6632082}}{6020} as a single fraction.

$$\frac{442513}{6632082\times 6020}\times 7627.26$$

Multiply 6632082 and 6020 to get 39925133640.

$$\frac{442513}{39925133640}\times 7627.26$$

Reduce the fraction \frac{442513}{39925133640} to lowest terms by extracting and canceling out 43.

$$\frac{10291}{928491480}\times 7627.26$$

Convert decimal number 7627.26 to fraction \frac{762726}{100}. Reduce the fraction \frac{762726}{100} to lowest terms by extracting and canceling out 2.

$$\frac{10291}{928491480}\times \frac{381363}{50}$$

Multiply \frac{10291}{928491480} times \frac{381363}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10291\times 381363}{928491480\times 50}$$

Do the multiplications in the fraction \frac{10291\times 381363}{928491480\times 50}.

$$\frac{3924606633}{46424574000}$$

Reduce the fraction \frac{3924606633}{46424574000} to lowest terms by extracting and canceling out 3.

$$\frac{1308202211}{15474858000}$$

Factor

$$\frac{23 \cdot 41 \cdot 251 \cdot 5527}{3 \cdot 7 \cdot 2 ^ {4} \cdot 5 ^ {3} \cdot 607 ^ {2}} = 0.08453726754714001$$