Solve 0.435*10^2*10^2*2.4120div915div0.2368div5=

$$0.435 \times { 10 }^{ 2 } \times { 10 }^{ 2 } \times 2.4120 \div 915 \div 0.2368 \div 5=$$

Evaluate

$$\frac{87435}{9028}\approx 9.684869296$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$\frac{\frac{\frac{0.435\times 10^{4}\times 2.412}{915}}{0.2368}}{5}$$

Express \frac{\frac{\frac{0.435\times 10^{4}\times 2.412}{915}}{0.2368}}{5} as a single fraction.

$$\frac{\frac{0.435\times 10^{4}\times 2.412}{915}}{0.2368\times 5}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{\frac{0.435\times 10000\times 2.412}{915}}{0.2368\times 5}$$

Multiply 0.435 and 10000 to get 4350.

$$\frac{\frac{4350\times 2.412}{915}}{0.2368\times 5}$$

Multiply 4350 and 2.412 to get 10492.2.

$$\frac{\frac{10492.2}{915}}{0.2368\times 5}$$

Expand \frac{10492.2}{915} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{104922}{9150}}{0.2368\times 5}$$

Reduce the fraction \frac{104922}{9150} to lowest terms by extracting and canceling out 6.

$$\frac{\frac{17487}{1525}}{0.2368\times 5}$$

Multiply 0.2368 and 5 to get 1.184.

$$\frac{\frac{17487}{1525}}{1.184}$$

Express \frac{\frac{17487}{1525}}{1.184} as a single fraction.

$$\frac{17487}{1525\times 1.184}$$

Multiply 1525 and 1.184 to get 1805.6.

$$\frac{17487}{1805.6}$$

Expand \frac{17487}{1805.6} by multiplying both numerator and the denominator by 10.

$$\frac{174870}{18056}$$

Reduce the fraction \frac{174870}{18056} to lowest terms by extracting and canceling out 2.

$$\frac{87435}{9028}$$

Factor

$$\frac{5 \cdot 29 \cdot 67 \cdot 3 ^ {2}}{37 \cdot 61 \cdot 2 ^ {2}} = 9\frac{6183}{9028} = 9.684869295525033$$