Solve 1*8/9*7/9*6/9*5/9=

$$1 \times \frac{ 8 }{ 9 } \times \frac{ 7 }{ 9 } \times \frac{ 6 }{ 9 } \times \frac{ 5 }{ 9 } =$$

Evaluate

$$\frac{560}{2187}\approx 0.256058528$$

Solution Steps

Multiply 1 and \frac{8}{9} to get \frac{8}{9}.

$$\frac{8}{9}\times \frac{7}{9}\times \frac{6}{9}\times \frac{5}{9}$$

Multiply \frac{8}{9} times \frac{7}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 7}{9\times 9}\times \frac{6}{9}\times \frac{5}{9}$$

Do the multiplications in the fraction \frac{8\times 7}{9\times 9}.

$$\frac{56}{81}\times \frac{6}{9}\times \frac{5}{9}$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$\frac{56}{81}\times \frac{2}{3}\times \frac{5}{9}$$

Multiply \frac{56}{81} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{56\times 2}{81\times 3}\times \frac{5}{9}$$

Do the multiplications in the fraction \frac{56\times 2}{81\times 3}.

$$\frac{112}{243}\times \frac{5}{9}$$

Multiply \frac{112}{243} times \frac{5}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{112\times 5}{243\times 9}$$

Do the multiplications in the fraction \frac{112\times 5}{243\times 9}.

$$\frac{560}{2187}$$

Factor

$$\frac{2 ^ {4} \cdot 5 \cdot 7}{3 ^ {7}} = 0.25605852766346593$$