Solve 0.435*10div915*500*20div0.2368*2.4120div20div25=

$$0.435 \times 10 \div 915 \times 500 \times 20 \div 0.2368 \times 2.4120 \div 20 \div 25=$$

Evaluate

$$\frac{17487}{18056}\approx 0.96848693$$

Solution Steps

Express \frac{\frac{\frac{\frac{0.435\times 10}{915}\times 500\times 20}{0.2368}\times 2.412}{20}}{25} as a single fraction.

$$\frac{\frac{\frac{0.435\times 10}{915}\times 500\times 20}{0.2368}\times 2.412}{20\times 25}$$

Multiply 0.435 and 10 to get 4.35.

$$\frac{\frac{\frac{4.35}{915}\times 500\times 20}{0.2368}\times 2.412}{20\times 25}$$

Expand \frac{4.35}{915} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{\frac{435}{91500}\times 500\times 20}{0.2368}\times 2.412}{20\times 25}$$

Reduce the fraction \frac{435}{91500} to lowest terms by extracting and canceling out 15.

$$\frac{\frac{\frac{29}{6100}\times 500\times 20}{0.2368}\times 2.412}{20\times 25}$$

Express \frac{29}{6100}\times 500 as a single fraction.

$$\frac{\frac{\frac{29\times 500}{6100}\times 20}{0.2368}\times 2.412}{20\times 25}$$

Multiply 29 and 500 to get 14500.

$$\frac{\frac{\frac{14500}{6100}\times 20}{0.2368}\times 2.412}{20\times 25}$$

Reduce the fraction \frac{14500}{6100} to lowest terms by extracting and canceling out 100.

$$\frac{\frac{\frac{145}{61}\times 20}{0.2368}\times 2.412}{20\times 25}$$

Express \frac{145}{61}\times 20 as a single fraction.

$$\frac{\frac{\frac{145\times 20}{61}}{0.2368}\times 2.412}{20\times 25}$$

Multiply 145 and 20 to get 2900.

$$\frac{\frac{\frac{2900}{61}}{0.2368}\times 2.412}{20\times 25}$$

Express \frac{\frac{2900}{61}}{0.2368} as a single fraction.

$$\frac{\frac{2900}{61\times 0.2368}\times 2.412}{20\times 25}$$

Multiply 61 and 0.2368 to get 14.4448.

$$\frac{\frac{2900}{14.4448}\times 2.412}{20\times 25}$$

Expand \frac{2900}{14.4448} by multiplying both numerator and the denominator by 10000.

$$\frac{\frac{29000000}{144448}\times 2.412}{20\times 25}$$

Reduce the fraction \frac{29000000}{144448} to lowest terms by extracting and canceling out 64.

$$\frac{\frac{453125}{2257}\times 2.412}{20\times 25}$$

Convert decimal number 2.412 to fraction \frac{2412}{1000}. Reduce the fraction \frac{2412}{1000} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{453125}{2257}\times \frac{603}{250}}{20\times 25}$$

Multiply \frac{453125}{2257} times \frac{603}{250} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{453125\times 603}{2257\times 250}}{20\times 25}$$

Do the multiplications in the fraction \frac{453125\times 603}{2257\times 250}.

$$\frac{\frac{273234375}{564250}}{20\times 25}$$

Reduce the fraction \frac{273234375}{564250} to lowest terms by extracting and canceling out 125.

$$\frac{\frac{2185875}{4514}}{20\times 25}$$

Multiply 20 and 25 to get 500.

$$\frac{\frac{2185875}{4514}}{500}$$

Express \frac{\frac{2185875}{4514}}{500} as a single fraction.

$$\frac{2185875}{4514\times 500}$$

Multiply 4514 and 500 to get 2257000.

$$\frac{2185875}{2257000}$$

Reduce the fraction \frac{2185875}{2257000} to lowest terms by extracting and canceling out 125.

$$\frac{17487}{18056}$$

Factor

$$\frac{29 \cdot 67 \cdot 3 ^ {2}}{37 \cdot 61 \cdot 2 ^ {3}} = 0.9684869295525034$$