Solve 3000-23.214*120/10-3000-23.214*120/120-23.21412-23.214*10/130

$$\frac{ 3000-23.214 \cdot 120 }{ 10 } - \frac{ 3000-23.214 \cdot 120 }{ 120 } - \frac{ 23.21412-23.214 \cdot 10 }{ 130 }$$

Evaluate

$$\frac{69072647}{3250000}\approx 21.253122154$$

Solution Steps

Multiply 23.214 and 120 to get 2785.68.

$$\frac{3000-2785.68}{10}-\frac{3000-23.214\times 120}{120}-\frac{23.21412-23.214\times 10}{130}$$

Subtract 2785.68 from 3000 to get 214.32.

$$\frac{214.32}{10}-\frac{3000-23.214\times 120}{120}-\frac{23.21412-23.214\times 10}{130}$$

Expand \frac{214.32}{10} by multiplying both numerator and the denominator by 100.

$$\frac{21432}{1000}-\frac{3000-23.214\times 120}{120}-\frac{23.21412-23.214\times 10}{130}$$

Reduce the fraction \frac{21432}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{2679}{125}-\frac{3000-23.214\times 120}{120}-\frac{23.21412-23.214\times 10}{130}$$

Multiply 23.214 and 120 to get 2785.68.

$$\frac{2679}{125}-\frac{3000-2785.68}{120}-\frac{23.21412-23.214\times 10}{130}$$

Subtract 2785.68 from 3000 to get 214.32.

$$\frac{2679}{125}-\frac{214.32}{120}-\frac{23.21412-23.214\times 10}{130}$$

Expand \frac{214.32}{120} by multiplying both numerator and the denominator by 100.

$$\frac{2679}{125}-\frac{21432}{12000}-\frac{23.21412-23.214\times 10}{130}$$

Reduce the fraction \frac{21432}{12000} to lowest terms by extracting and canceling out 24.

$$\frac{2679}{125}-\frac{893}{500}-\frac{23.21412-23.214\times 10}{130}$$

Least common multiple of 125 and 500 is 500. Convert \frac{2679}{125} and \frac{893}{500} to fractions with denominator 500.

$$\frac{10716}{500}-\frac{893}{500}-\frac{23.21412-23.214\times 10}{130}$$

Since \frac{10716}{500} and \frac{893}{500} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10716-893}{500}-\frac{23.21412-23.214\times 10}{130}$$

Subtract 893 from 10716 to get 9823.

$$\frac{9823}{500}-\frac{23.21412-23.214\times 10}{130}$$

Multiply 23.214 and 10 to get 232.14.

$$\frac{9823}{500}-\frac{23.21412-232.14}{130}$$

Subtract 232.14 from 23.21412 to get -208.92588.

$$\frac{9823}{500}-\frac{-208.92588}{130}$$

Expand \frac{-208.92588}{130} by multiplying both numerator and the denominator by 100000.

$$\frac{9823}{500}-\frac{-20892588}{13000000}$$

Reduce the fraction \frac{-20892588}{13000000} to lowest terms by extracting and canceling out 4.

$$\frac{9823}{500}-\left(-\frac{5223147}{3250000}\right)$$

The opposite of -\frac{5223147}{3250000} is \frac{5223147}{3250000}.

$$\frac{9823}{500}+\frac{5223147}{3250000}$$

Least common multiple of 500 and 3250000 is 3250000. Convert \frac{9823}{500} and \frac{5223147}{3250000} to fractions with denominator 3250000.

$$\frac{63849500}{3250000}+\frac{5223147}{3250000}$$

Since \frac{63849500}{3250000} and \frac{5223147}{3250000} have the same denominator, add them by adding their numerators.

$$\frac{63849500+5223147}{3250000}$$

Add 63849500 and 5223147 to get 69072647.

$$\frac{69072647}{3250000}$$

Factor

$$\frac{7 \cdot 9867521}{13 \cdot 2 ^ {4} \cdot 5 ^ {6}} = 21\frac{822647}{3250000} = 21.253122153846153$$