Solve 2.2div150+4.6div220+3.5div140+4div430+6.4div560=

$$2.2 \div 150+4.6 \div 220+3.5 \div 140+4 \div 430+6.4 \div 560=$$

Evaluate

$$\frac{807619}{9933000}\approx 0.081306655$$

Solution Steps

Expand \frac{2.2}{150} by multiplying both numerator and the denominator by 10.

$$\frac{22}{1500}+\frac{4.6}{220}+\frac{3.5}{140}+\frac{4}{430}+\frac{6.4}{560}$$

Reduce the fraction \frac{22}{1500} to lowest terms by extracting and canceling out 2.

$$\frac{11}{750}+\frac{4.6}{220}+\frac{3.5}{140}+\frac{4}{430}+\frac{6.4}{560}$$

Expand \frac{4.6}{220} by multiplying both numerator and the denominator by 10.

$$\frac{11}{750}+\frac{46}{2200}+\frac{3.5}{140}+\frac{4}{430}+\frac{6.4}{560}$$

Reduce the fraction \frac{46}{2200} to lowest terms by extracting and canceling out 2.

$$\frac{11}{750}+\frac{23}{1100}+\frac{3.5}{140}+\frac{4}{430}+\frac{6.4}{560}$$

Least common multiple of 750 and 1100 is 16500. Convert \frac{11}{750} and \frac{23}{1100} to fractions with denominator 16500.

$$\frac{242}{16500}+\frac{345}{16500}+\frac{3.5}{140}+\frac{4}{430}+\frac{6.4}{560}$$

Since \frac{242}{16500} and \frac{345}{16500} have the same denominator, add them by adding their numerators.

$$\frac{242+345}{16500}+\frac{3.5}{140}+\frac{4}{430}+\frac{6.4}{560}$$

Add 242 and 345 to get 587.

$$\frac{587}{16500}+\frac{3.5}{140}+\frac{4}{430}+\frac{6.4}{560}$$

Expand \frac{3.5}{140} by multiplying both numerator and the denominator by 10.

$$\frac{587}{16500}+\frac{35}{1400}+\frac{4}{430}+\frac{6.4}{560}$$

Reduce the fraction \frac{35}{1400} to lowest terms by extracting and canceling out 35.

$$\frac{587}{16500}+\frac{1}{40}+\frac{4}{430}+\frac{6.4}{560}$$

Least common multiple of 16500 and 40 is 33000. Convert \frac{587}{16500} and \frac{1}{40} to fractions with denominator 33000.

$$\frac{1174}{33000}+\frac{825}{33000}+\frac{4}{430}+\frac{6.4}{560}$$

Since \frac{1174}{33000} and \frac{825}{33000} have the same denominator, add them by adding their numerators.

$$\frac{1174+825}{33000}+\frac{4}{430}+\frac{6.4}{560}$$

Add 1174 and 825 to get 1999.

$$\frac{1999}{33000}+\frac{4}{430}+\frac{6.4}{560}$$

Reduce the fraction \frac{4}{430} to lowest terms by extracting and canceling out 2.

$$\frac{1999}{33000}+\frac{2}{215}+\frac{6.4}{560}$$

Least common multiple of 33000 and 215 is 1419000. Convert \frac{1999}{33000} and \frac{2}{215} to fractions with denominator 1419000.

$$\frac{85957}{1419000}+\frac{13200}{1419000}+\frac{6.4}{560}$$

Since \frac{85957}{1419000} and \frac{13200}{1419000} have the same denominator, add them by adding their numerators.

$$\frac{85957+13200}{1419000}+\frac{6.4}{560}$$

Add 85957 and 13200 to get 99157.

$$\frac{99157}{1419000}+\frac{6.4}{560}$$

Expand \frac{6.4}{560} by multiplying both numerator and the denominator by 10.

$$\frac{99157}{1419000}+\frac{64}{5600}$$

Reduce the fraction \frac{64}{5600} to lowest terms by extracting and canceling out 32.

$$\frac{99157}{1419000}+\frac{2}{175}$$

Least common multiple of 1419000 and 175 is 9933000. Convert \frac{99157}{1419000} and \frac{2}{175} to fractions with denominator 9933000.

$$\frac{694099}{9933000}+\frac{113520}{9933000}$$

Since \frac{694099}{9933000} and \frac{113520}{9933000} have the same denominator, add them by adding their numerators.

$$\frac{694099+113520}{9933000}$$

Add 694099 and 113520 to get 807619.

$$\frac{807619}{9933000}$$

Factor

$$\frac{17 \cdot 47507}{3 \cdot 7 \cdot 11 \cdot 43 \cdot 2 ^ {3} \cdot 5 ^ {3}} = 0.08130665458572435$$