Solve 129/20div64/11=

$$12 \frac { 9 } { 20 } \div 6 \frac { 4 } { 11 } =$$

Evaluate

$$\frac{2739}{1400}\approx 1.956428571$$

Solution Steps

Divide \frac{12\times 20+9}{20} by \frac{6\times 11+4}{11} by multiplying \frac{12\times 20+9}{20} by the reciprocal of \frac{6\times 11+4}{11}.

$$\frac{\left(12\times 20+9\right)\times 11}{20\left(6\times 11+4\right)}$$

Multiply 12 and 20 to get 240.

$$\frac{\left(240+9\right)\times 11}{20\left(6\times 11+4\right)}$$

Add 240 and 9 to get 249.

$$\frac{249\times 11}{20\left(6\times 11+4\right)}$$

Multiply 249 and 11 to get 2739.

$$\frac{2739}{20\left(6\times 11+4\right)}$$

Multiply 6 and 11 to get 66.

$$\frac{2739}{20\left(66+4\right)}$$

Add 66 and 4 to get 70.

$$\frac{2739}{20\times 70}$$

Multiply 20 and 70 to get 1400.

$$\frac{2739}{1400}$$

Factor

$$\frac{3 \cdot 11 \cdot 83}{2 ^ {3} \cdot 5 ^ {2} \cdot 7} = 1\frac{1339}{1400} = 1.9564285714285714$$