Solve 6/11*7/12*5/13*4/12

$$\frac { 6 } { 11 } \times \frac { 7 } { 12 } \times \frac { 5 } { 13 } \times \frac { 4 } { 12 }$$

Evaluate

$$\frac{35}{858}\approx 0.040792541$$

Solution Steps

Multiply \frac{6}{11} times \frac{7}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 7}{11\times 12}\times \frac{5}{13}\times \frac{4}{12}$$

Do the multiplications in the fraction \frac{6\times 7}{11\times 12}.

$$\frac{42}{132}\times \frac{5}{13}\times \frac{4}{12}$$

Reduce the fraction \frac{42}{132} to lowest terms by extracting and canceling out 6.

$$\frac{7}{22}\times \frac{5}{13}\times \frac{4}{12}$$

Multiply \frac{7}{22} times \frac{5}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 5}{22\times 13}\times \frac{4}{12}$$

Do the multiplications in the fraction \frac{7\times 5}{22\times 13}.

$$\frac{35}{286}\times \frac{4}{12}$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$\frac{35}{286}\times \frac{1}{3}$$

Multiply \frac{35}{286} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{35\times 1}{286\times 3}$$

Do the multiplications in the fraction \frac{35\times 1}{286\times 3}.

$$\frac{35}{858}$$

Factor

$$\frac{5 \cdot 7}{2 \cdot 3 \cdot 11 \cdot 13} = 0.04079254079254079$$