Solve 2/3:4/7

$$\frac { 2 } { 3 } : \frac { 4 } { 7 }$$

Evaluate

$$\frac{7}{6}\approx 1.166666667$$

Solution Steps

Divide \frac{2}{3} by \frac{4}{7} by multiplying \frac{2}{3} by the reciprocal of \frac{4}{7}.

$$\frac{2}{3}\times \frac{7}{4}$$

Multiply \frac{2}{3} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 7}{3\times 4}$$

Do the multiplications in the fraction \frac{2\times 7}{3\times 4}.

$$\frac{14}{12}$$

Reduce the fraction \frac{14}{12} to lowest terms by extracting and canceling out 2.

$$\frac{7}{6}$$

Factor

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1.1666666666666667$$