Solve 2*(3/5-1/7)+1/5

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

Evaluate

$$\frac{39}{35}\approx 1.114285714$$

Solution Steps

Least common multiple of 5 and 7 is 35. Convert \frac{3}{5} and \frac{1}{7} to fractions with denominator 35.

$$2\left(\frac{21}{35}-\frac{5}{35}\right)+\frac{1}{5}$$

Since \frac{21}{35} and \frac{5}{35} have the same denominator, subtract them by subtracting their numerators.

$$2\times \frac{21-5}{35}+\frac{1}{5}$$

Subtract 5 from 21 to get 16.

$$2\times \frac{16}{35}+\frac{1}{5}$$

Express 2\times \frac{16}{35} as a single fraction.

$$\frac{2\times 16}{35}+\frac{1}{5}$$

Multiply 2 and 16 to get 32.

$$\frac{32}{35}+\frac{1}{5}$$

Least common multiple of 35 and 5 is 35. Convert \frac{32}{35} and \frac{1}{5} to fractions with denominator 35.

$$\frac{32}{35}+\frac{7}{35}$$

Since \frac{32}{35} and \frac{7}{35} have the same denominator, add them by adding their numerators.

$$\frac{32+7}{35}$$

Add 32 and 7 to get 39.

$$\frac{39}{35}$$

Factor

$$\frac{3 \cdot 13}{5 \cdot 7} = 1\frac{4}{35} = 1.1142857142857143$$