Solve 3/5div7/10

$$\frac{ 3 }{ 5 } \div \frac{ 7 }{ 10 }$$

Evaluate

$$\frac{6}{7}\approx 0.857142857$$

Solution Steps

Divide \frac{3}{5} by \frac{7}{10} by multiplying \frac{3}{5} by the reciprocal of \frac{7}{10}.

$$\frac{3}{5}\times \frac{10}{7}$$

Multiply \frac{3}{5} times \frac{10}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 10}{5\times 7}$$

Do the multiplications in the fraction \frac{3\times 10}{5\times 7}.

$$\frac{30}{35}$$

Reduce the fraction \frac{30}{35} to lowest terms by extracting and canceling out 5.

$$\frac{6}{7}$$

Factor

$$\frac{2 \cdot 3}{7} = 0.8571428571428571$$