Solve 17/18*21/22*31/33

$$\frac{ 17 }{ 18 } \times \frac{ 21 }{ 22 } \times \frac{ 31 }{ 33 }$$

Evaluate

$$\frac{3689}{4356}\approx 0.84687787$$

Solution Steps

Multiply \frac{17}{18} times \frac{21}{22} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\times 21}{18\times 22}\times \frac{31}{33}$$

Do the multiplications in the fraction \frac{17\times 21}{18\times 22}.

$$\frac{357}{396}\times \frac{31}{33}$$

Reduce the fraction \frac{357}{396} to lowest terms by extracting and canceling out 3.

$$\frac{119}{132}\times \frac{31}{33}$$

Multiply \frac{119}{132} times \frac{31}{33} by multiplying numerator times numerator and denominator times denominator.

$$\frac{119\times 31}{132\times 33}$$

Do the multiplications in the fraction \frac{119\times 31}{132\times 33}.

$$\frac{3689}{4356}$$

Factor

$$\frac{7 \cdot 17 \cdot 31}{2 ^ {2} \cdot 3 ^ {2} \cdot 11 ^ {2}} = 0.8468778696051423$$