Solve 1/4:7/8

$$\frac { 1 } { 4 } : \frac { 7 } { 8 }$$

Evaluate

$$\frac{2}{7}\approx 0.285714286$$

Solution Steps

Divide \frac{1}{4} by \frac{7}{8} by multiplying \frac{1}{4} by the reciprocal of \frac{7}{8}.

$$\frac{1}{4}\times \frac{8}{7}$$

Multiply \frac{1}{4} times \frac{8}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 8}{4\times 7}$$

Do the multiplications in the fraction \frac{1\times 8}{4\times 7}.

$$\frac{8}{28}$$

Reduce the fraction \frac{8}{28} to lowest terms by extracting and canceling out 4.

$$\frac{2}{7}$$

Factor

$$\frac{2}{7} = 0.2857142857142857$$