Solve 27/40:18/35

$$\frac { 27 } { 40 } : \frac { 18 } { 35 }$$

Evaluate

$$\frac{21}{16}=1.3125$$

Solution Steps

Divide \frac{27}{40} by \frac{18}{35} by multiplying \frac{27}{40} by the reciprocal of \frac{18}{35}.

$$\frac{27}{40}\times \frac{35}{18}$$

Multiply \frac{27}{40} times \frac{35}{18} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 35}{40\times 18}$$

Do the multiplications in the fraction \frac{27\times 35}{40\times 18}.

$$\frac{945}{720}$$

Reduce the fraction \frac{945}{720} to lowest terms by extracting and canceling out 45.

$$\frac{21}{16}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {4}} = 1\frac{5}{16} = 1.3125$$