Solve 6.2-7.02div2.6+5.1

$$6.2 - 7.02 \div 2.6 + 5.1$$

Evaluate

$$8.6$$

Solution Steps

Expand \frac{7.02}{2.6} by multiplying both numerator and the denominator by 100.

$$6.2-\frac{702}{260}+5.1$$

Reduce the fraction \frac{702}{260} to lowest terms by extracting and canceling out 26.

$$6.2-\frac{27}{10}+5.1$$

Convert decimal number 6.2 to fraction \frac{62}{10}. Reduce the fraction \frac{62}{10} to lowest terms by extracting and canceling out 2.

$$\frac{31}{5}-\frac{27}{10}+5.1$$

Least common multiple of 5 and 10 is 10. Convert \frac{31}{5} and \frac{27}{10} to fractions with denominator 10.

$$\frac{62}{10}-\frac{27}{10}+5.1$$

Since \frac{62}{10} and \frac{27}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{62-27}{10}+5.1$$

Subtract 27 from 62 to get 35.

$$\frac{35}{10}+5.1$$

Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$\frac{7}{2}+5.1$$

Convert decimal number 5.1 to fraction \frac{51}{10}.

$$\frac{7}{2}+\frac{51}{10}$$

Least common multiple of 2 and 10 is 10. Convert \frac{7}{2} and \frac{51}{10} to fractions with denominator 10.

$$\frac{35}{10}+\frac{51}{10}$$

Since \frac{35}{10} and \frac{51}{10} have the same denominator, add them by adding their numerators.

$$\frac{35+51}{10}$$

Add 35 and 51 to get 86.

$$\frac{86}{10}$$

Reduce the fraction \frac{86}{10} to lowest terms by extracting and canceling out 2.

$$\frac{43}{5}$$

Factor

$$\frac{43}{5} = 8\frac{3}{5} = 8.6$$