Solve 3/7:18/19

$$\frac { 3 } { 7 } : \frac { 18 } { 19 }$$

Evaluate

$$\frac{19}{42}\approx 0.452380952$$

Solution Steps

Divide \frac{3}{7} by \frac{18}{19} by multiplying \frac{3}{7} by the reciprocal of \frac{18}{19}.

$$\frac{3}{7}\times \frac{19}{18}$$

Multiply \frac{3}{7} times \frac{19}{18} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 19}{7\times 18}$$

Do the multiplications in the fraction \frac{3\times 19}{7\times 18}.

$$\frac{57}{126}$$

Reduce the fraction \frac{57}{126} to lowest terms by extracting and canceling out 3.

$$\frac{19}{42}$$

Factor

$$\frac{19}{2 \cdot 3 \cdot 7} = 0.4523809523809524$$