Solve 9.807*36+0.5*1.91^2+2160000/890+122-9.807*2.1

$$9.807 \times 36+0.5 \times { 1.91 }^{ 2 } + \frac{ 2160000 }{ 890 } +122-9.807 \times 2.1$$

Evaluate

$$\frac{5132180803}{1780000}\approx 2883.247642135$$

Solution Steps

Multiply 9.807 and 36 to get 353.052.

$$353.052+0.5\times 1.91^{2}+\frac{2160000}{890}+122-9.807\times 2.1$$

Calculate 1.91 to the power of 2 and get 3.6481.

$$353.052+0.5\times 3.6481+\frac{2160000}{890}+122-9.807\times 2.1$$

Multiply 0.5 and 3.6481 to get 1.82405.

$$353.052+1.82405+\frac{2160000}{890}+122-9.807\times 2.1$$

Add 353.052 and 1.82405 to get 354.87605.

$$354.87605+\frac{2160000}{890}+122-9.807\times 2.1$$

Reduce the fraction \frac{2160000}{890} to lowest terms by extracting and canceling out 10.

$$354.87605+\frac{216000}{89}+122-9.807\times 2.1$$

Convert decimal number 354.87605 to fraction \frac{35487605}{100000}. Reduce the fraction \frac{35487605}{100000} to lowest terms by extracting and canceling out 5.

$$\frac{7097521}{20000}+\frac{216000}{89}+122-9.807\times 2.1$$

Least common multiple of 20000 and 89 is 1780000. Convert \frac{7097521}{20000} and \frac{216000}{89} to fractions with denominator 1780000.

$$\frac{631679369}{1780000}+\frac{4320000000}{1780000}+122-9.807\times 2.1$$

Since \frac{631679369}{1780000} and \frac{4320000000}{1780000} have the same denominator, add them by adding their numerators.

$$\frac{631679369+4320000000}{1780000}+122-9.807\times 2.1$$

Add 631679369 and 4320000000 to get 4951679369.

$$\frac{4951679369}{1780000}+122-9.807\times 2.1$$

Convert 122 to fraction \frac{217160000}{1780000}.

$$\frac{4951679369}{1780000}+\frac{217160000}{1780000}-9.807\times 2.1$$

Since \frac{4951679369}{1780000} and \frac{217160000}{1780000} have the same denominator, add them by adding their numerators.

$$\frac{4951679369+217160000}{1780000}-9.807\times 2.1$$

Add 4951679369 and 217160000 to get 5168839369.

$$\frac{5168839369}{1780000}-9.807\times 2.1$$

Multiply 9.807 and 2.1 to get 20.5947.

$$\frac{5168839369}{1780000}-20.5947$$

Convert decimal number 20.5947 to fraction \frac{205947}{10000}.

$$\frac{5168839369}{1780000}-\frac{205947}{10000}$$

Least common multiple of 1780000 and 10000 is 1780000. Convert \frac{5168839369}{1780000} and \frac{205947}{10000} to fractions with denominator 1780000.

$$\frac{5168839369}{1780000}-\frac{36658566}{1780000}$$

Since \frac{5168839369}{1780000} and \frac{36658566}{1780000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5168839369-36658566}{1780000}$$

Subtract 36658566 from 5168839369 to get 5132180803.

$$\frac{5132180803}{1780000}$$

Factor

$$\frac{2083 \cdot 2463841}{89 \cdot 2 ^ {5} \cdot 5 ^ {4}} = 2883\frac{440803}{1780000} = 2883.2476421348315$$