Solve 4/7div6/11

$$\frac { 4 } { 7 } \div \frac { 6 } { 11 }$$

Evaluate

$$\frac{22}{21}\approx 1.047619048$$

Solution Steps

Divide \frac{4}{7} by \frac{6}{11} by multiplying \frac{4}{7} by the reciprocal of \frac{6}{11}.

$$\frac{4}{7}\times \frac{11}{6}$$

Multiply \frac{4}{7} times \frac{11}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 11}{7\times 6}$$

Do the multiplications in the fraction \frac{4\times 11}{7\times 6}.

$$\frac{44}{42}$$

Reduce the fraction \frac{44}{42} to lowest terms by extracting and canceling out 2.

$$\frac{22}{21}$$

Factor

$$\frac{2 \cdot 11}{3 \cdot 7} = 1\frac{1}{21} = 1.0476190476190477$$