Solve 27/40div81/32

$$\frac { 27 } { 40 } \div \frac { 81 } { 32 }$$

Evaluate

$$\frac{4}{15}\approx 0.266666667$$

Solution Steps

Divide \frac{27}{40} by \frac{81}{32} by multiplying \frac{27}{40} by the reciprocal of \frac{81}{32}.

$$\frac{27}{40}\times \frac{32}{81}$$

Multiply \frac{27}{40} times \frac{32}{81} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 32}{40\times 81}$$

Do the multiplications in the fraction \frac{27\times 32}{40\times 81}.

$$\frac{864}{3240}$$

Reduce the fraction \frac{864}{3240} to lowest terms by extracting and canceling out 216.

$$\frac{4}{15}$$

Factor

$$\frac{2 ^ {2}}{3 \cdot 5} = 0.26666666666666666$$