Solve 2/7-(-0.02)

$$\frac{ 2 }{ 7 } -(-0.02)$$

Evaluate

$$\frac{107}{350}\approx 0.305714286$$

Solution Steps

The opposite of -0.02 is 0.02.

$$\frac{2}{7}+0.02$$

Convert decimal number 0.02 to fraction \frac{2}{100}. Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$\frac{2}{7}+\frac{1}{50}$$

Least common multiple of 7 and 50 is 350. Convert \frac{2}{7} and \frac{1}{50} to fractions with denominator 350.

$$\frac{100}{350}+\frac{7}{350}$$

Since \frac{100}{350} and \frac{7}{350} have the same denominator, add them by adding their numerators.

$$\frac{100+7}{350}$$

Add 100 and 7 to get 107.

$$\frac{107}{350}$$

Factor

$$\frac{107}{2 \cdot 7 \cdot 5 ^ {2}} = 0.3057142857142857$$