Solve 2*13.6*1.5/220left(0.0216*0.76+0.0001476*0.31right)100

$$\frac{ 2 \times 13.6 \cdot 1.5 }{ 220 } \left( 0.0216 \cdot 0.76+0.0001476 \cdot 0.31 \right) 100$$

Evaluate

$$\frac{209887389}{687500000}\approx 0.305290748$$

Solution Steps

Multiply 2 and 13.6 to get 27.2.

$$\frac{27.2\times 1.5}{220}\left(0.0216\times 0.76+0.0001476\times 0.31\right)\times 100$$

Multiply 27.2 and 1.5 to get 40.8.

$$\frac{40.8}{220}\left(0.0216\times 0.76+0.0001476\times 0.31\right)\times 100$$

Expand \frac{40.8}{220} by multiplying both numerator and the denominator by 10.

$$\frac{408}{2200}\left(0.0216\times 0.76+0.0001476\times 0.31\right)\times 100$$

Reduce the fraction \frac{408}{2200} to lowest terms by extracting and canceling out 8.

$$\frac{51}{275}\left(0.0216\times 0.76+0.0001476\times 0.31\right)\times 100$$

Multiply 0.0216 and 0.76 to get 0.016416.

$$\frac{51}{275}\left(0.016416+0.0001476\times 0.31\right)\times 100$$

Multiply 0.0001476 and 0.31 to get 0.000045756.

$$\frac{51}{275}\left(0.016416+0.000045756\right)\times 100$$

Add 0.016416 and 0.000045756 to get 0.016461756.

$$\frac{51}{275}\times 0.016461756\times 100$$

Convert decimal number 0.016461756 to fraction \frac{16461756}{1000000000}. Reduce the fraction \frac{16461756}{1000000000} to lowest terms by extracting and canceling out 4.

$$\frac{51}{275}\times \frac{4115439}{250000000}\times 100$$

Multiply \frac{51}{275} times \frac{4115439}{250000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{51\times 4115439}{275\times 250000000}\times 100$$

Do the multiplications in the fraction \frac{51\times 4115439}{275\times 250000000}.

$$\frac{209887389}{68750000000}\times 100$$

Express \frac{209887389}{68750000000}\times 100 as a single fraction.

$$\frac{209887389\times 100}{68750000000}$$

Multiply 209887389 and 100 to get 20988738900.

$$\frac{20988738900}{68750000000}$$

Reduce the fraction \frac{20988738900}{68750000000} to lowest terms by extracting and canceling out 100.

$$\frac{209887389}{687500000}$$

Factor

$$\frac{17 \cdot 457271 \cdot 3 ^ {3}}{11 \cdot 2 ^ {5} \cdot 5 ^ {9}} = 0.30529074763636366$$