Solve (7,4+(-21/5))+(3,2+(-1/2))

$$( 7,4 + ( - 2 \frac { 1 } { 5 } ) ) + ( 3,2 + ( - \frac { 1 } { 2 } ) )$$

Evaluate

$$7,9$$

Solution Steps

Multiply 2 and 5 to get 10.

$$7,4-\frac{10+1}{5}+3,2-\frac{1}{2}$$

Add 10 and 1 to get 11.

$$7,4-\frac{11}{5}+3,2-\frac{1}{2}$$

Convert decimal number 7,4 to fraction \frac{74}{10}. Reduce the fraction \frac{74}{10} to lowest terms by extracting and canceling out 2.

$$\frac{37}{5}-\frac{11}{5}+3,2-\frac{1}{2}$$

Since \frac{37}{5} and \frac{11}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{37-11}{5}+3,2-\frac{1}{2}$$

Subtract 11 from 37 to get 26.

$$\frac{26}{5}+3,2-\frac{1}{2}$$

Convert decimal number 3,2 to fraction \frac{32}{10}. Reduce the fraction \frac{32}{10} to lowest terms by extracting and canceling out 2.

$$\frac{26}{5}+\frac{16}{5}-\frac{1}{2}$$

Since \frac{26}{5} and \frac{16}{5} have the same denominator, add them by adding their numerators.

$$\frac{26+16}{5}-\frac{1}{2}$$

Add 26 and 16 to get 42.

$$\frac{42}{5}-\frac{1}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{42}{5} and \frac{1}{2} to fractions with denominator 10.

$$\frac{84}{10}-\frac{5}{10}$$

Since \frac{84}{10} and \frac{5}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{84-5}{10}$$

Subtract 5 from 84 to get 79.

$$\frac{79}{10}$$

Factor

$$\frac{79}{2 \cdot 5} = 7\frac{9}{10} = 7.9$$