Solve 5/6div7/10

$$\frac{ 5 }{ 6 } \div \frac{ 7 }{ 10 }$$

Evaluate

$$\frac{25}{21}\approx 1.19047619$$

Solution Steps

Divide \frac{5}{6} by \frac{7}{10} by multiplying \frac{5}{6} by the reciprocal of \frac{7}{10}.

$$\frac{5}{6}\times \frac{10}{7}$$

Multiply \frac{5}{6} times \frac{10}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 10}{6\times 7}$$

Do the multiplications in the fraction \frac{5\times 10}{6\times 7}.

$$\frac{50}{42}$$

Reduce the fraction \frac{50}{42} to lowest terms by extracting and canceling out 2.

$$\frac{25}{21}$$

Factor

$$\frac{5 ^ {2}}{3 \cdot 7} = 1\frac{4}{21} = 1.1904761904761905$$