Solve 0.0725(3*0.1725+3*0.0725)/9*0.7725+20*0.0725=

$$\frac { 0.0725 ( 3 \cdot 0.1725 + 3 \cdot 0.0725 ) } { 9 \cdot 0.7725 + 20 \cdot 0.0725 } =$$

Evaluate

$$\frac{4263}{672200}\approx 0.006341863$$

Solution Steps

Multiply 3 and 0.1725 to get 0.5175.

$$\frac{0.0725\left(0.5175+3\times 0.0725\right)}{9\times 0.7725+20\times 0.0725}$$

Multiply 3 and 0.0725 to get 0.2175.

$$\frac{0.0725\left(0.5175+0.2175\right)}{9\times 0.7725+20\times 0.0725}$$

Add 0.5175 and 0.2175 to get 0.735.

$$\frac{0.0725\times 0.735}{9\times 0.7725+20\times 0.0725}$$

Multiply 0.0725 and 0.735 to get 0.0532875.

$$\frac{0.0532875}{9\times 0.7725+20\times 0.0725}$$

Multiply 9 and 0.7725 to get 6.9525.

$$\frac{0.0532875}{6.9525+20\times 0.0725}$$

Multiply 20 and 0.0725 to get 1.45.

$$\frac{0.0532875}{6.9525+1.45}$$

Add 6.9525 and 1.45 to get 8.4025.

$$\frac{0.0532875}{8.4025}$$

Expand \frac{0.0532875}{8.4025} by multiplying both numerator and the denominator by 10000000.

$$\frac{532875}{84025000}$$

Reduce the fraction \frac{532875}{84025000} to lowest terms by extracting and canceling out 125.

$$\frac{4263}{672200}$$

Factor

$$\frac{3 \cdot 29 \cdot 7 ^ {2}}{3361 \cdot 2 ^ {3} \cdot 5 ^ {2}} = 0.006341862540910443$$