Solve 2/7div(3/7+2/5)

$$2 / 7 \div ( 3 / 7 + 2 / 5 )$$

Evaluate

$$\frac{10}{29}\approx 0.344827586$$

Solution Steps

Least common multiple of 7 and 5 is 35. Convert \frac{3}{7} and \frac{2}{5} to fractions with denominator 35.

$$\frac{\frac{2}{7}}{\frac{15}{35}+\frac{14}{35}}$$

Since \frac{15}{35} and \frac{14}{35} have the same denominator, add them by adding their numerators.

$$\frac{\frac{2}{7}}{\frac{15+14}{35}}$$

Add 15 and 14 to get 29.

$$\frac{\frac{2}{7}}{\frac{29}{35}}$$

Divide \frac{2}{7} by \frac{29}{35} by multiplying \frac{2}{7} by the reciprocal of \frac{29}{35}.

$$\frac{2}{7}\times \frac{35}{29}$$

Multiply \frac{2}{7} times \frac{35}{29} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 35}{7\times 29}$$

Do the multiplications in the fraction \frac{2\times 35}{7\times 29}.

$$\frac{70}{203}$$

Reduce the fraction \frac{70}{203} to lowest terms by extracting and canceling out 7.

$$\frac{10}{29}$$

Factor

$$\frac{2 \cdot 5}{29} = 0.3448275862068966$$