Solve 11/12*8/15*5/16*9/22

$$\frac { 11 } { 12 } \times \frac { 8 } { 15 } \times \frac { 5 } { 16 } \times \frac { 9 } { 22 }$$

Evaluate

$$\frac{1}{16}=0.0625$$

Solution Steps

Multiply \frac{11}{12} times \frac{8}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 8}{12\times 15}\times \frac{5}{16}\times \frac{9}{22}$$

Do the multiplications in the fraction \frac{11\times 8}{12\times 15}.

$$\frac{88}{180}\times \frac{5}{16}\times \frac{9}{22}$$

Reduce the fraction \frac{88}{180} to lowest terms by extracting and canceling out 4.

$$\frac{22}{45}\times \frac{5}{16}\times \frac{9}{22}$$

Multiply \frac{22}{45} times \frac{5}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 5}{45\times 16}\times \frac{9}{22}$$

Do the multiplications in the fraction \frac{22\times 5}{45\times 16}.

$$\frac{110}{720}\times \frac{9}{22}$$

Reduce the fraction \frac{110}{720} to lowest terms by extracting and canceling out 10.

$$\frac{11}{72}\times \frac{9}{22}$$

Multiply \frac{11}{72} times \frac{9}{22} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 9}{72\times 22}$$

Do the multiplications in the fraction \frac{11\times 9}{72\times 22}.

$$\frac{99}{1584}$$

Reduce the fraction \frac{99}{1584} to lowest terms by extracting and canceling out 99.

$$\frac{1}{16}$$

Factor

$$\frac{1}{2 ^ {4}} = 0.0625$$