Solve (-1110.204/0.88)+((1110.204*0.45)/0.161)-4364.213=

$$(- \frac{ 1110.204 }{ 0.88 } )+( \frac{ (1110.204 \times 0.45) }{ 0.161 } )-4364.213=$$

Evaluate

$$-\frac{4467796973}{1771000}\approx -2522.75379616$$

Solution Steps

Expand \frac{1110.204}{0.88} by multiplying both numerator and the denominator by 1000.

$$-\frac{1110204}{880}+\frac{1110.204\times 0.45}{0.161}-4364.213$$

Reduce the fraction \frac{1110204}{880} to lowest terms by extracting and canceling out 4.

$$-\frac{277551}{220}+\frac{1110.204\times 0.45}{0.161}-4364.213$$

Multiply 1110.204 and 0.45 to get 499.5918.

$$-\frac{277551}{220}+\frac{499.5918}{0.161}-4364.213$$

Expand \frac{499.5918}{0.161} by multiplying both numerator and the denominator by 10000.

$$-\frac{277551}{220}+\frac{4995918}{1610}-4364.213$$

Reduce the fraction \frac{4995918}{1610} to lowest terms by extracting and canceling out 2.

$$-\frac{277551}{220}+\frac{2497959}{805}-4364.213$$

Least common multiple of 220 and 805 is 35420. Convert -\frac{277551}{220} and \frac{2497959}{805} to fractions with denominator 35420.

$$-\frac{44685711}{35420}+\frac{109910196}{35420}-4364.213$$

Since -\frac{44685711}{35420} and \frac{109910196}{35420} have the same denominator, add them by adding their numerators.

$$\frac{-44685711+109910196}{35420}-4364.213$$

Add -44685711 and 109910196 to get 65224485.

$$\frac{65224485}{35420}-4364.213$$

Reduce the fraction \frac{65224485}{35420} to lowest terms by extracting and canceling out 5.

$$\frac{13044897}{7084}-4364.213$$

Convert decimal number 4364.213 to fraction \frac{4364213}{1000}.

$$\frac{13044897}{7084}-\frac{4364213}{1000}$$

Least common multiple of 7084 and 1000 is 1771000. Convert \frac{13044897}{7084} and \frac{4364213}{1000} to fractions with denominator 1771000.

$$\frac{3261224250}{1771000}-\frac{7729021223}{1771000}$$

Since \frac{3261224250}{1771000} and \frac{7729021223}{1771000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3261224250-7729021223}{1771000}$$

Subtract 7729021223 from 3261224250 to get -4467796973.

$$-\frac{4467796973}{1771000}$$

Factor

$$-\frac{4467796973}{1771000} = -2522\frac{1334973}{1771000} = -2522.753796160361$$