Solve 8/7/frac{4{11}}

$$\frac{ \frac{ 8 }{ 7 } }{ \frac{ 4 }{ 11 } }$$

Evaluate

$$\frac{22}{7}\approx 3.142857143$$

Solution Steps

Divide \frac{8}{7} by \frac{4}{11} by multiplying \frac{8}{7} by the reciprocal of \frac{4}{11}.

$$\frac{8}{7}\times \frac{11}{4}$$

Multiply \frac{8}{7} times \frac{11}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 11}{7\times 4}$$

Do the multiplications in the fraction \frac{8\times 11}{7\times 4}.

$$\frac{88}{28}$$

Reduce the fraction \frac{88}{28} to lowest terms by extracting and canceling out 4.

$$\frac{22}{7}$$

Factor

$$\frac{2 \cdot 11}{7} = 3\frac{1}{7} = 3.142857142857143$$