Solve 23/7-(-12/5)=

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

Evaluate

$$\frac{134}{35}\approx 3.828571429$$

Solution Steps

Multiply 2 and 7 to get 14.

$$\frac{14+3}{7}-\left(-\frac{1\times 5+2}{5}\right)$$

Add 14 and 3 to get 17.

$$\frac{17}{7}-\left(-\frac{1\times 5+2}{5}\right)$$

Multiply 1 and 5 to get 5.

$$\frac{17}{7}-\left(-\frac{5+2}{5}\right)$$

Add 5 and 2 to get 7.

$$\frac{17}{7}-\left(-\frac{7}{5}\right)$$

The opposite of -\frac{7}{5} is \frac{7}{5}.

$$\frac{17}{7}+\frac{7}{5}$$

Least common multiple of 7 and 5 is 35. Convert \frac{17}{7} and \frac{7}{5} to fractions with denominator 35.

$$\frac{85}{35}+\frac{49}{35}$$

Since \frac{85}{35} and \frac{49}{35} have the same denominator, add them by adding their numerators.

$$\frac{85+49}{35}$$

Add 85 and 49 to get 134.

$$\frac{134}{35}$$

Factor

$$\frac{2 \cdot 67}{5 \cdot 7} = 3\frac{29}{35} = 3.8285714285714287$$