Solve 1+0.25/6*left(0+2*0.125+2*0.1094+0.2227right)

$$1+ \frac{ 0.25 }{ 6 } \times \left( 0+2 \cdot 0.125+2 \cdot 0.1094+0.2227 \right)$$

Evaluate

$$1.0288125$$

Solution Steps

Expand \frac{0.25}{6} by multiplying both numerator and the denominator by 100.

$$1+\frac{25}{600}\left(0+2\times 0.125+2\times 0.1094+0.2227\right)$$

Reduce the fraction \frac{25}{600} to lowest terms by extracting and canceling out 25.

$$1+\frac{1}{24}\left(0+2\times 0.125+2\times 0.1094+0.2227\right)$$

Multiply 2 and 0.125 to get 0.25.

$$1+\frac{1}{24}\left(0+0.25+2\times 0.1094+0.2227\right)$$

Add 0 and 0.25 to get 0.25.

$$1+\frac{1}{24}\left(0.25+2\times 0.1094+0.2227\right)$$

Multiply 2 and 0.1094 to get 0.2188.

$$1+\frac{1}{24}\left(0.25+0.2188+0.2227\right)$$

Add 0.25 and 0.2188 to get 0.4688.

$$1+\frac{1}{24}\left(0.4688+0.2227\right)$$

Add 0.4688 and 0.2227 to get 0.6915.

$$1+\frac{1}{24}\times 0.6915$$

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.

$$1+\frac{1}{24}\times \frac{1383}{2000}$$

Multiply \frac{1}{24} times \frac{1383}{2000} by multiplying numerator times numerator and denominator times denominator.

$$1+\frac{1\times 1383}{24\times 2000}$$

Do the multiplications in the fraction \frac{1\times 1383}{24\times 2000}.

$$1+\frac{1383}{48000}$$

Reduce the fraction \frac{1383}{48000} to lowest terms by extracting and canceling out 3.

$$1+\frac{461}{16000}$$

Convert 1 to fraction \frac{16000}{16000}.

$$\frac{16000}{16000}+\frac{461}{16000}$$

Since \frac{16000}{16000} and \frac{461}{16000} have the same denominator, add them by adding their numerators.

$$\frac{16000+461}{16000}$$

Add 16000 and 461 to get 16461.

$$\frac{16461}{16000}$$

Factor

$$\frac{31 \cdot 59 \cdot 3 ^ {2}}{2 ^ {7} \cdot 5 ^ {3}} = 1\frac{461}{16000} = 1.0288125$$