Solve 1.732*25.5*10/380left(0.00865*0.68+0.000134*0.31right)100

$$\frac{ 1.732 \times 25.5 \cdot 10 }{ 380 } \left( 0.00865 \cdot 0.68+0.000134 \cdot 0.31 \right) 100$$

Evaluate

$$\frac{6540476691}{9500000000}\approx 0.688471231$$

Solution Steps

Multiply 1.732 and 25.5 to get 44.166.

$$\frac{44.166\times 10}{380}\left(0.00865\times 0.68+0.000134\times 0.31\right)\times 100$$

Multiply 44.166 and 10 to get 441.66.

$$\frac{441.66}{380}\left(0.00865\times 0.68+0.000134\times 0.31\right)\times 100$$

Expand \frac{441.66}{380} by multiplying both numerator and the denominator by 100.

$$\frac{44166}{38000}\left(0.00865\times 0.68+0.000134\times 0.31\right)\times 100$$

Reduce the fraction \frac{44166}{38000} to lowest terms by extracting and canceling out 2.

$$\frac{22083}{19000}\left(0.00865\times 0.68+0.000134\times 0.31\right)\times 100$$

Multiply 0.00865 and 0.68 to get 0.005882.

$$\frac{22083}{19000}\left(0.005882+0.000134\times 0.31\right)\times 100$$

Multiply 0.000134 and 0.31 to get 0.00004154.

$$\frac{22083}{19000}\left(0.005882+0.00004154\right)\times 100$$

Add 0.005882 and 0.00004154 to get 0.00592354.

$$\frac{22083}{19000}\times 0.00592354\times 100$$

Convert decimal number 0.00592354 to fraction \frac{592354}{100000000}. Reduce the fraction \frac{592354}{100000000} to lowest terms by extracting and canceling out 2.

$$\frac{22083}{19000}\times \frac{296177}{50000000}\times 100$$

Multiply \frac{22083}{19000} times \frac{296177}{50000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22083\times 296177}{19000\times 50000000}\times 100$$

Do the multiplications in the fraction \frac{22083\times 296177}{19000\times 50000000}.

$$\frac{6540476691}{950000000000}\times 100$$

Express \frac{6540476691}{950000000000}\times 100 as a single fraction.

$$\frac{6540476691\times 100}{950000000000}$$

Multiply 6540476691 and 100 to get 654047669100.

$$\frac{654047669100}{950000000000}$$

Reduce the fraction \frac{654047669100}{950000000000} to lowest terms by extracting and canceling out 100.

$$\frac{6540476691}{9500000000}$$

Factor

$$\frac{3 \cdot 7 \cdot 17 \cdot 29 \cdot 433 \cdot 1459}{19 \cdot 2 ^ {8} \cdot 5 ^ {9}} = 0.688471230631579$$