Solve 0.549*0.175/0.135*0.127+0.148*0.349+0.175*0.549+0.179*0.745+0.126*0.824+0.237*0.922

$$\frac{ 0.549 \times 0.175 }{ 0.135 \times 0.127+0.148 \times 0.349+0.175 \times 0.549+0.179 \times 0.745+0.126 \times 0.824+0.237 \times 0.922 }$$

Evaluate

$$\frac{6405}{41371}\approx 0.154818593$$

Solution Steps

Multiply 0.549 and 0.175 to get 0.096075.

$$\frac{0.096075}{0.135\times 0.127+0.148\times 0.349+0.175\times 0.549+0.179\times 0.745+0.126\times 0.824+0.237\times 0.922}$$

Multiply 0.135 and 0.127 to get 0.017145.

$$\frac{0.096075}{0.017145+0.148\times 0.349+0.175\times 0.549+0.179\times 0.745+0.126\times 0.824+0.237\times 0.922}$$

Multiply 0.148 and 0.349 to get 0.051652.

$$\frac{0.096075}{0.017145+0.051652+0.175\times 0.549+0.179\times 0.745+0.126\times 0.824+0.237\times 0.922}$$

Add 0.017145 and 0.051652 to get 0.068797.

$$\frac{0.096075}{0.068797+0.175\times 0.549+0.179\times 0.745+0.126\times 0.824+0.237\times 0.922}$$

Multiply 0.175 and 0.549 to get 0.096075.

$$\frac{0.096075}{0.068797+0.096075+0.179\times 0.745+0.126\times 0.824+0.237\times 0.922}$$

Add 0.068797 and 0.096075 to get 0.164872.

$$\frac{0.096075}{0.164872+0.179\times 0.745+0.126\times 0.824+0.237\times 0.922}$$

Multiply 0.179 and 0.745 to get 0.133355.

$$\frac{0.096075}{0.164872+0.133355+0.126\times 0.824+0.237\times 0.922}$$

Add 0.164872 and 0.133355 to get 0.298227.

$$\frac{0.096075}{0.298227+0.126\times 0.824+0.237\times 0.922}$$

Multiply 0.126 and 0.824 to get 0.103824.

$$\frac{0.096075}{0.298227+0.103824+0.237\times 0.922}$$

Add 0.298227 and 0.103824 to get 0.402051.

$$\frac{0.096075}{0.402051+0.237\times 0.922}$$

Multiply 0.237 and 0.922 to get 0.218514.

$$\frac{0.096075}{0.402051+0.218514}$$

Add 0.402051 and 0.218514 to get 0.620565.

$$\frac{0.096075}{0.620565}$$

Expand \frac{0.096075}{0.620565} by multiplying both numerator and the denominator by 1000000.

$$\frac{96075}{620565}$$

Reduce the fraction \frac{96075}{620565} to lowest terms by extracting and canceling out 15.

$$\frac{6405}{41371}$$

Factor

$$\frac{3 \cdot 5 \cdot 7 \cdot 61}{11 \cdot 3761} = 0.15481859273404075$$