Solve 11/14/frac{7{22}}

$$\frac{ \frac{ 11 }{ 14 } }{ \frac{ 7 }{ 22 } }$$

Evaluate

$$\frac{121}{49}\approx 2.469387755$$

Solution Steps

Divide \frac{11}{14} by \frac{7}{22} by multiplying \frac{11}{14} by the reciprocal of \frac{7}{22}.

$$\frac{11}{14}\times \frac{22}{7}$$

Multiply \frac{11}{14} times \frac{22}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 22}{14\times 7}$$

Do the multiplications in the fraction \frac{11\times 22}{14\times 7}.

$$\frac{242}{98}$$

Reduce the fraction \frac{242}{98} to lowest terms by extracting and canceling out 2.

$$\frac{121}{49}$$

Factor

$$\frac{11 ^ {2}}{7 ^ {2}} = 2\frac{23}{49} = 2.4693877551020407$$