Solve 8.19+(-23/7)+(5.8)+(-3.19)+5.8

$$8.19+(-2 \frac{ 3 }{ 7 } )+(5.8)+(-3.19)+5.8$$

Evaluate

$$\frac{496}{35}\approx 14.171428571$$

Solution Steps

Multiply 2 and 7 to get 14.

$$8.19-\frac{14+3}{7}+5.8-3.19+5.8$$

Add 14 and 3 to get 17.

$$8.19-\frac{17}{7}+5.8-3.19+5.8$$

Convert decimal number 8.19 to fraction \frac{819}{100}.

$$\frac{819}{100}-\frac{17}{7}+5.8-3.19+5.8$$

Least common multiple of 100 and 7 is 700. Convert \frac{819}{100} and \frac{17}{7} to fractions with denominator 700.

$$\frac{5733}{700}-\frac{1700}{700}+5.8-3.19+5.8$$

Since \frac{5733}{700} and \frac{1700}{700} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5733-1700}{700}+5.8-3.19+5.8$$

Subtract 1700 from 5733 to get 4033.

$$\frac{4033}{700}+5.8-3.19+5.8$$

Convert decimal number 5.8 to fraction \frac{58}{10}. Reduce the fraction \frac{58}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4033}{700}+\frac{29}{5}-3.19+5.8$$

Least common multiple of 700 and 5 is 700. Convert \frac{4033}{700} and \frac{29}{5} to fractions with denominator 700.

$$\frac{4033}{700}+\frac{4060}{700}-3.19+5.8$$

Since \frac{4033}{700} and \frac{4060}{700} have the same denominator, add them by adding their numerators.

$$\frac{4033+4060}{700}-3.19+5.8$$

Add 4033 and 4060 to get 8093.

$$\frac{8093}{700}-3.19+5.8$$

Convert decimal number 3.19 to fraction \frac{319}{100}.

$$\frac{8093}{700}-\frac{319}{100}+5.8$$

Least common multiple of 700 and 100 is 700. Convert \frac{8093}{700} and \frac{319}{100} to fractions with denominator 700.

$$\frac{8093}{700}-\frac{2233}{700}+5.8$$

Since \frac{8093}{700} and \frac{2233}{700} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8093-2233}{700}+5.8$$

Subtract 2233 from 8093 to get 5860.

$$\frac{5860}{700}+5.8$$

Reduce the fraction \frac{5860}{700} to lowest terms by extracting and canceling out 20.

$$\frac{293}{35}+5.8$$

Convert decimal number 5.8 to fraction \frac{58}{10}. Reduce the fraction \frac{58}{10} to lowest terms by extracting and canceling out 2.

$$\frac{293}{35}+\frac{29}{5}$$

Least common multiple of 35 and 5 is 35. Convert \frac{293}{35} and \frac{29}{5} to fractions with denominator 35.

$$\frac{293}{35}+\frac{203}{35}$$

Since \frac{293}{35} and \frac{203}{35} have the same denominator, add them by adding their numerators.

$$\frac{293+203}{35}$$

Add 293 and 203 to get 496.

$$\frac{496}{35}$$

Factor

$$\frac{31 \cdot 2 ^ {4}}{5 \cdot 7} = 14\frac{6}{35} = 14.17142857142857$$