Solve 34/7+5,4+(-14/7)

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

Evaluate

$$7,4$$

Solution Steps

Multiply 3 and 7 to get 21.

$$\frac{21+4}{7}+5,4-\frac{1\times 7+4}{7}$$

Add 21 and 4 to get 25.

$$\frac{25}{7}+5,4-\frac{1\times 7+4}{7}$$

Convert decimal number 5,4 to fraction \frac{54}{10}. Reduce the fraction \frac{54}{10} to lowest terms by extracting and canceling out 2.

$$\frac{25}{7}+\frac{27}{5}-\frac{1\times 7+4}{7}$$

Least common multiple of 7 and 5 is 35. Convert \frac{25}{7} and \frac{27}{5} to fractions with denominator 35.

$$\frac{125}{35}+\frac{189}{35}-\frac{1\times 7+4}{7}$$

Since \frac{125}{35} and \frac{189}{35} have the same denominator, add them by adding their numerators.

$$\frac{125+189}{35}-\frac{1\times 7+4}{7}$$

Add 125 and 189 to get 314.

$$\frac{314}{35}-\frac{1\times 7+4}{7}$$

Multiply 1 and 7 to get 7.

$$\frac{314}{35}-\frac{7+4}{7}$$

Add 7 and 4 to get 11.

$$\frac{314}{35}-\frac{11}{7}$$

Least common multiple of 35 and 7 is 35. Convert \frac{314}{35} and \frac{11}{7} to fractions with denominator 35.

$$\frac{314}{35}-\frac{55}{35}$$

Since \frac{314}{35} and \frac{55}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{314-55}{35}$$

Subtract 55 from 314 to get 259.

$$\frac{259}{35}$$

Reduce the fraction \frac{259}{35} to lowest terms by extracting and canceling out 7.

$$\frac{37}{5}$$

Factor

$$\frac{37}{5} = 7\frac{2}{5} = 7.4$$