Solve 31/623/424/11

$$3 \frac{ 1 }{ 6 } 2 \frac{ 3 }{ 4 } 2 \frac{ 4 }{ 11 }$$

Evaluate

$$\frac{247}{12}\approx 20.583333333$$

Solution Steps

Multiply 3 and 6 to get 18.

$$\frac{18+1}{6}\times \frac{2\times 4+3}{4}\times \frac{2\times 11+4}{11}$$

Add 18 and 1 to get 19.

$$\frac{19}{6}\times \frac{2\times 4+3}{4}\times \frac{2\times 11+4}{11}$$

Multiply 2 and 4 to get 8.

$$\frac{19}{6}\times \frac{8+3}{4}\times \frac{2\times 11+4}{11}$$

Add 8 and 3 to get 11.

$$\frac{19}{6}\times \frac{11}{4}\times \frac{2\times 11+4}{11}$$

Multiply \frac{19}{6} times \frac{11}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{19\times 11}{6\times 4}\times \frac{2\times 11+4}{11}$$

Do the multiplications in the fraction \frac{19\times 11}{6\times 4}.

$$\frac{209}{24}\times \frac{2\times 11+4}{11}$$

Multiply 2 and 11 to get 22.

$$\frac{209}{24}\times \frac{22+4}{11}$$

Add 22 and 4 to get 26.

$$\frac{209}{24}\times \frac{26}{11}$$

Multiply \frac{209}{24} times \frac{26}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{209\times 26}{24\times 11}$$

Do the multiplications in the fraction \frac{209\times 26}{24\times 11}.

$$\frac{5434}{264}$$

Reduce the fraction \frac{5434}{264} to lowest terms by extracting and canceling out 22.

$$\frac{247}{12}$$

Factor

$$\frac{13 \cdot 19}{2 ^ {2} \cdot 3} = 20\frac{7}{12} = 20.583333333333332$$