Solve 0.479*0.725*0.978*0.547div0.177^3*3div4divpi

$$0.479 \times 0.725 \times 0.978 \times 0.547 \div { 0.177 }^{ 3 } \times 3 \div 4 \div \pi$$

Evaluate

$$\frac{1238535451}{49290960\pi }\approx 7.998182191$$

Solution Steps

Express \frac{\frac{\frac{0.479\times 0.725\times 0.978\times 0.547}{0.177^{3}}\times 3}{4}}{\pi } as a single fraction.

$$\frac{\frac{0.479\times 0.725\times 0.978\times 0.547}{0.177^{3}}\times 3}{4\pi }$$

Multiply 0.479 and 0.725 to get 0.347275.

$$\frac{\frac{0.347275\times 0.978\times 0.547}{0.177^{3}}\times 3}{4\pi }$$

Multiply 0.347275 and 0.978 to get 0.33963495.

$$\frac{\frac{0.33963495\times 0.547}{0.177^{3}}\times 3}{4\pi }$$

Multiply 0.33963495 and 0.547 to get 0.18578031765.

$$\frac{\frac{0.18578031765}{0.177^{3}}\times 3}{4\pi }$$

Calculate 0.177 to the power of 3 and get 0.005545233.

$$\frac{\frac{0.18578031765}{0.005545233}\times 3}{4\pi }$$

Expand \frac{0.18578031765}{0.005545233} by multiplying both numerator and the denominator by 100000000000.

$$\frac{\frac{18578031765}{554523300}\times 3}{4\pi }$$

Reduce the fraction \frac{18578031765}{554523300} to lowest terms by extracting and canceling out 15.

$$\frac{\frac{1238535451}{36968220}\times 3}{4\pi }$$

Express \frac{1238535451}{36968220}\times 3 as a single fraction.

$$\frac{\frac{1238535451\times 3}{36968220}}{4\pi }$$

Multiply 1238535451 and 3 to get 3715606353.

$$\frac{\frac{3715606353}{36968220}}{4\pi }$$

Reduce the fraction \frac{3715606353}{36968220} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{1238535451}{12322740}}{4\pi }$$

Express \frac{\frac{1238535451}{12322740}}{4\pi } as a single fraction.

$$\frac{1238535451}{12322740\times 4\pi }$$

Multiply 12322740 and 4 to get 49290960.

$$\frac{1238535451}{49290960\pi }$$