Solve 5/6div1/21/4

$$\frac{ 5 }{ 6 } \div \frac{ 1 }{ 2 } \frac{ 1 }{ 4 }$$

Evaluate

$$\frac{5}{12}\approx 0.416666667$$

Solution Steps

Divide \frac{5}{6} by \frac{1}{2} by multiplying \frac{5}{6} by the reciprocal of \frac{1}{2}.

$$\frac{5}{6}\times 2\times \frac{1}{4}$$

Express \frac{5}{6}\times 2 as a single fraction.

$$\frac{5\times 2}{6}\times \frac{1}{4}$$

Multiply 5 and 2 to get 10.

$$\frac{10}{6}\times \frac{1}{4}$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

$$\frac{5}{3}\times \frac{1}{4}$$

Multiply \frac{5}{3} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 1}{3\times 4}$$

Do the multiplications in the fraction \frac{5\times 1}{3\times 4}.

$$\frac{5}{12}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 3} = 0.4166666666666667$$