Solve 26/11*62/9*1/2

$$2 \frac { 6 } { 11 } \times 6 \frac { 2 } { 9 } \times \frac { 1 } { 2 }$$

Evaluate

$$\frac{784}{99}\approx 7.919191919$$

Solution Steps

Multiply 2 and 11 to get 22.

$$\frac{22+6}{11}\times \frac{6\times 9+2}{9}\times \frac{1}{2}$$

Add 22 and 6 to get 28.

$$\frac{28}{11}\times \frac{6\times 9+2}{9}\times \frac{1}{2}$$

Multiply 6 and 9 to get 54.

$$\frac{28}{11}\times \frac{54+2}{9}\times \frac{1}{2}$$

Add 54 and 2 to get 56.

$$\frac{28}{11}\times \frac{56}{9}\times \frac{1}{2}$$

Multiply \frac{28}{11} times \frac{56}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{28\times 56}{11\times 9}\times \frac{1}{2}$$

Do the multiplications in the fraction \frac{28\times 56}{11\times 9}.

$$\frac{1568}{99}\times \frac{1}{2}$$

Multiply \frac{1568}{99} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1568\times 1}{99\times 2}$$

Do the multiplications in the fraction \frac{1568\times 1}{99\times 2}.

$$\frac{1568}{198}$$

Reduce the fraction \frac{1568}{198} to lowest terms by extracting and canceling out 2.

$$\frac{784}{99}$$

Factor

$$\frac{2 ^ {4} \cdot 7 ^ {2}}{3 ^ {2} \cdot 11} = 7\frac{91}{99} = 7.91919191919192$$