Solve 5/7div40/3

$$\frac { 5 } { 7 } \div \frac { 40 } { 3 }$$

Evaluate

$$\frac{3}{56}\approx 0.053571429$$

Solution Steps

Divide \frac{5}{7} by \frac{40}{3} by multiplying \frac{5}{7} by the reciprocal of \frac{40}{3}.

$$\frac{5}{7}\times \frac{3}{40}$$

Multiply \frac{5}{7} times \frac{3}{40} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 3}{7\times 40}$$

Do the multiplications in the fraction \frac{5\times 3}{7\times 40}.

$$\frac{15}{280}$$

Reduce the fraction \frac{15}{280} to lowest terms by extracting and canceling out 5.

$$\frac{3}{56}$$

Factor

$$\frac{3}{2 ^ {3} \cdot 7} = 0.05357142857142857$$