Solve 4/6:3/8

$$\frac { 4 } { 6 } : \frac { 3 } { 8 }$$

Evaluate

$$\frac{16}{9}\approx 1.777777778$$

Solution Steps

Divide \frac{4}{6} by \frac{3}{8} by multiplying \frac{4}{6} by the reciprocal of \frac{3}{8}.

$$\frac{4\times 8}{6\times 3}$$

Cancel out 2 in both numerator and denominator.

$$\frac{2\times 8}{3\times 3}$$

Multiply 2 and 8 to get 16.

$$\frac{16}{3\times 3}$$

Multiply 3 and 3 to get 9.

$$\frac{16}{9}$$

Factor

$$\frac{2 ^ {4}}{3 ^ {2}} = 1\frac{7}{9} = 1.7777777777777777$$