Solve 31/6*23/5*24/11

$$3 \frac { 1 } { 6 } \times 2 \frac { 3 } { 5 } \times 2 \frac { 4 } { 11 }$$

Evaluate

$$\frac{3211}{165}\approx 19.460606061$$

Solution Steps

Multiply 3 and 6 to get 18.

$$\frac{18+1}{6}\times \frac{2\times 5+3}{5}\times \frac{2\times 11+4}{11}$$

Add 18 and 1 to get 19.

$$\frac{19}{6}\times \frac{2\times 5+3}{5}\times \frac{2\times 11+4}{11}$$

Multiply 2 and 5 to get 10.

$$\frac{19}{6}\times \frac{10+3}{5}\times \frac{2\times 11+4}{11}$$

Add 10 and 3 to get 13.

$$\frac{19}{6}\times \frac{13}{5}\times \frac{2\times 11+4}{11}$$

Multiply \frac{19}{6} times \frac{13}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{19\times 13}{6\times 5}\times \frac{2\times 11+4}{11}$$

Do the multiplications in the fraction \frac{19\times 13}{6\times 5}.

$$\frac{247}{30}\times \frac{2\times 11+4}{11}$$

Multiply 2 and 11 to get 22.

$$\frac{247}{30}\times \frac{22+4}{11}$$

Add 22 and 4 to get 26.

$$\frac{247}{30}\times \frac{26}{11}$$

Multiply \frac{247}{30} times \frac{26}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{247\times 26}{30\times 11}$$

Do the multiplications in the fraction \frac{247\times 26}{30\times 11}.

$$\frac{6422}{330}$$

Reduce the fraction \frac{6422}{330} to lowest terms by extracting and canceling out 2.

$$\frac{3211}{165}$$

Factor

$$\frac{13 ^ {2} \cdot 19}{3 \cdot 5 \cdot 11} = 19\frac{76}{165} = 19.46060606060606$$