Solve 1/2div11/4?

$$\frac { 1 } { 2 } \div \frac { 11 } { 4 } ?$$

Evaluate

$$\frac{2}{11}\approx 0.181818182$$

Solution Steps

Divide \frac{1}{2} by \frac{11}{4} by multiplying \frac{1}{2} by the reciprocal of \frac{11}{4}.

$$\frac{1}{2}\times \frac{4}{11}$$

Multiply \frac{1}{2} times \frac{4}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 4}{2\times 11}$$

Do the multiplications in the fraction \frac{1\times 4}{2\times 11}.

$$\frac{4}{22}$$

Reduce the fraction \frac{4}{22} to lowest terms by extracting and canceling out 2.

$$\frac{2}{11}$$

Factor

$$\frac{2}{11} = 0.18181818181818182$$