Solve =40/9:25/6

$$= \frac { 40 } { 9 } : \frac { 25 } { 6 }$$

Evaluate

$$\frac{16}{15}\approx 1.066666667$$

Solution Steps

Divide \frac{40}{9} by \frac{25}{6} by multiplying \frac{40}{9} by the reciprocal of \frac{25}{6}.

$$\frac{40}{9}\times \frac{6}{25}$$

Multiply \frac{40}{9} times \frac{6}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{40\times 6}{9\times 25}$$

Do the multiplications in the fraction \frac{40\times 6}{9\times 25}.

$$\frac{240}{225}$$

Reduce the fraction \frac{240}{225} to lowest terms by extracting and canceling out 15.

$$\frac{16}{15}$$

Factor

$$\frac{2 ^ {4}}{3 \cdot 5} = 1\frac{1}{15} = 1.0666666666666667$$