Solve 31/2div(24/9*14/11)

$$3 \frac { 1 } { 2 } \div ( 2 \frac { 4 } { 9 } \times 1 \frac { 4 } { 11 } )$$

Evaluate

$$\frac{21}{20}=1.05$$

Solution Steps

Multiply 3 and 2 to get 6.

$$\frac{\frac{6+1}{2}}{\frac{2\times 9+4}{9}\times \frac{1\times 11+4}{11}}$$

Add 6 and 1 to get 7.

$$\frac{\frac{7}{2}}{\frac{2\times 9+4}{9}\times \frac{1\times 11+4}{11}}$$

Multiply 2 and 9 to get 18.

$$\frac{\frac{7}{2}}{\frac{18+4}{9}\times \frac{1\times 11+4}{11}}$$

Add 18 and 4 to get 22.

$$\frac{\frac{7}{2}}{\frac{22}{9}\times \frac{1\times 11+4}{11}}$$

Multiply 1 and 11 to get 11.

$$\frac{\frac{7}{2}}{\frac{22}{9}\times \frac{11+4}{11}}$$

Add 11 and 4 to get 15.

$$\frac{\frac{7}{2}}{\frac{22}{9}\times \frac{15}{11}}$$

Multiply \frac{22}{9} times \frac{15}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{7}{2}}{\frac{22\times 15}{9\times 11}}$$

Do the multiplications in the fraction \frac{22\times 15}{9\times 11}.

$$\frac{\frac{7}{2}}{\frac{330}{99}}$$

Reduce the fraction \frac{330}{99} to lowest terms by extracting and canceling out 33.

$$\frac{\frac{7}{2}}{\frac{10}{3}}$$

Divide \frac{7}{2} by \frac{10}{3} by multiplying \frac{7}{2} by the reciprocal of \frac{10}{3}.

$$\frac{7}{2}\times \frac{3}{10}$$

Multiply \frac{7}{2} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 3}{2\times 10}$$

Do the multiplications in the fraction \frac{7\times 3}{2\times 10}.

$$\frac{21}{20}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {2} \cdot 5} = 1\frac{1}{20} = 1.05$$