Solve 1/frac{2{3}}8/9/frac{10{11}}

$$\frac { 1 } { \frac { 2 } { 3 } } \frac { \frac { 8 } { 9 } } { \frac { 10 } { 11 } }$$

Evaluate

$$\frac{22}{15}\approx 1.466666667$$

Solution Steps

Divide 1 by \frac{2}{3} by multiplying 1 by the reciprocal of \frac{2}{3}.

$$1\times \frac{3}{2}\times \frac{\frac{8}{9}}{\frac{10}{11}}$$

Multiply 1 and \frac{3}{2} to get \frac{3}{2}.

$$\frac{3}{2}\times \frac{\frac{8}{9}}{\frac{10}{11}}$$

Divide \frac{8}{9} by \frac{10}{11} by multiplying \frac{8}{9} by the reciprocal of \frac{10}{11}.

$$\frac{3}{2}\times \frac{8}{9}\times \frac{11}{10}$$

Multiply \frac{8}{9} times \frac{11}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{2}\times \frac{8\times 11}{9\times 10}$$

Do the multiplications in the fraction \frac{8\times 11}{9\times 10}.

$$\frac{3}{2}\times \frac{88}{90}$$

Reduce the fraction \frac{88}{90} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}\times \frac{44}{45}$$

Multiply \frac{3}{2} times \frac{44}{45} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 44}{2\times 45}$$

Do the multiplications in the fraction \frac{3\times 44}{2\times 45}.

$$\frac{132}{90}$$

Reduce the fraction \frac{132}{90} to lowest terms by extracting and canceling out 6.

$$\frac{22}{15}$$

Factor

$$\frac{2 \cdot 11}{3 \cdot 5} = 1\frac{7}{15} = 1.4666666666666666$$