Solve 1/6(0+2(0.125)+2(0.1094)+0.2227)

$$\frac{ 1 }{ 6 } (0+2(0.125)+2(0.1094)+0.2227)$$

Evaluate

$$0.11525$$

Solution Steps

Multiply 2 and 0.125 to get 0.25.

$$\frac{1}{6}\left(0+0.25+2\times 0.1094+0.2227\right)$$

Add 0 and 0.25 to get 0.25.

$$\frac{1}{6}\left(0.25+2\times 0.1094+0.2227\right)$$

Multiply 2 and 0.1094 to get 0.2188.

$$\frac{1}{6}\left(0.25+0.2188+0.2227\right)$$

Add 0.25 and 0.2188 to get 0.4688.

$$\frac{1}{6}\left(0.4688+0.2227\right)$$

Add 0.4688 and 0.2227 to get 0.6915.

$$\frac{1}{6}\times 0.6915$$

Convert decimal number 0.6915 to fraction \frac{6915}{10000}. Reduce the fraction \frac{6915}{10000} to lowest terms by extracting and canceling out 5.

$$\frac{1}{6}\times \frac{1383}{2000}$$

Multiply \frac{1}{6} times \frac{1383}{2000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1383}{6\times 2000}$$

Do the multiplications in the fraction \frac{1\times 1383}{6\times 2000}.

$$\frac{1383}{12000}$$

Reduce the fraction \frac{1383}{12000} to lowest terms by extracting and canceling out 3.

$$\frac{461}{4000}$$

Factor

$$\frac{461}{2 ^ {5} \cdot 5 ^ {3}} = 0.11525$$