Solve 13/6+1.75+22/15-13/3+2.5=

$$\frac{ 13 }{ 6 } +1.75+ \frac{ 22 }{ 15 } - \frac{ 13 }{ 3 } +2.5=$$

Evaluate

$$3.55$$

Solution Steps

Convert decimal number 1.75 to fraction \frac{175}{100}. Reduce the fraction \frac{175}{100} to lowest terms by extracting and canceling out 25.

$$\frac{13}{6}+\frac{7}{4}+\frac{22}{15}-\frac{13}{3}+2.5$$

Least common multiple of 6 and 4 is 12. Convert \frac{13}{6} and \frac{7}{4} to fractions with denominator 12.

$$\frac{26}{12}+\frac{21}{12}+\frac{22}{15}-\frac{13}{3}+2.5$$

Since \frac{26}{12} and \frac{21}{12} have the same denominator, add them by adding their numerators.

$$\frac{26+21}{12}+\frac{22}{15}-\frac{13}{3}+2.5$$

Add 26 and 21 to get 47.

$$\frac{47}{12}+\frac{22}{15}-\frac{13}{3}+2.5$$

Least common multiple of 12 and 15 is 60. Convert \frac{47}{12} and \frac{22}{15} to fractions with denominator 60.

$$\frac{235}{60}+\frac{88}{60}-\frac{13}{3}+2.5$$

Since \frac{235}{60} and \frac{88}{60} have the same denominator, add them by adding their numerators.

$$\frac{235+88}{60}-\frac{13}{3}+2.5$$

Add 235 and 88 to get 323.

$$\frac{323}{60}-\frac{13}{3}+2.5$$

Least common multiple of 60 and 3 is 60. Convert \frac{323}{60} and \frac{13}{3} to fractions with denominator 60.

$$\frac{323}{60}-\frac{260}{60}+2.5$$

Since \frac{323}{60} and \frac{260}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{323-260}{60}+2.5$$

Subtract 260 from 323 to get 63.

$$\frac{63}{60}+2.5$$

Reduce the fraction \frac{63}{60} to lowest terms by extracting and canceling out 3.

$$\frac{21}{20}+2.5$$

Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\frac{21}{20}+\frac{5}{2}$$

Least common multiple of 20 and 2 is 20. Convert \frac{21}{20} and \frac{5}{2} to fractions with denominator 20.

$$\frac{21}{20}+\frac{50}{20}$$

Since \frac{21}{20} and \frac{50}{20} have the same denominator, add them by adding their numerators.

$$\frac{21+50}{20}$$

Add 21 and 50 to get 71.

$$\frac{71}{20}$$

Factor

$$\frac{71}{5 \cdot 2 ^ {2}} = 3\frac{11}{20} = 3.55$$