Solve 49/100:25/16

$$\frac { 49 } { 100 } : \frac { 25 } { 16 }$$

Evaluate

$$\frac{196}{625}=0.3136$$

Solution Steps

Divide \frac{49}{100} by \frac{25}{16} by multiplying \frac{49}{100} by the reciprocal of \frac{25}{16}.

$$\frac{49}{100}\times \frac{16}{25}$$

Multiply \frac{49}{100} times \frac{16}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{49\times 16}{100\times 25}$$

Do the multiplications in the fraction \frac{49\times 16}{100\times 25}.

$$\frac{784}{2500}$$

Reduce the fraction \frac{784}{2500} to lowest terms by extracting and canceling out 4.

$$\frac{196}{625}$$

Factor

$$\frac{2 ^ {2} \cdot 7 ^ {2}}{5 ^ {4}} = 0.3136$$