Solve 2*3.1*3/220left(0.0216*0.76+0.0001476*0.31right)100

$$\frac{ 2 \times 3.1 \cdot 3 }{ 220 } \left( 0.0216 \cdot 0.76+0.0001476 \cdot 0.31 \right) 100$$

Evaluate

$$\frac{382735827}{2750000000}\approx 0.139176664$$

Solution Steps

Multiply 2 and 3.1 to get 6.2.

$$\frac{6.2\times 3}{220}\left(0.0216\times 0.76+0.0001476\times 0.31\right)\times 100$$

Multiply 6.2 and 3 to get 18.6.

$$\frac{18.6}{220}\left(0.0216\times 0.76+0.0001476\times 0.31\right)\times 100$$

Expand \frac{18.6}{220} by multiplying both numerator and the denominator by 10.

$$\frac{186}{2200}\left(0.0216\times 0.76+0.0001476\times 0.31\right)\times 100$$

Reduce the fraction \frac{186}{2200} to lowest terms by extracting and canceling out 2.

$$\frac{93}{1100}\left(0.0216\times 0.76+0.0001476\times 0.31\right)\times 100$$

Multiply 0.0216 and 0.76 to get 0.016416.

$$\frac{93}{1100}\left(0.016416+0.0001476\times 0.31\right)\times 100$$

Multiply 0.0001476 and 0.31 to get 0.000045756.

$$\frac{93}{1100}\left(0.016416+0.000045756\right)\times 100$$

Add 0.016416 and 0.000045756 to get 0.016461756.

$$\frac{93}{1100}\times 0.016461756\times 100$$

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.

$$\frac{93}{1100}\times \frac{4115439}{250000000}\times 100$$

Multiply \frac{93}{1100} times \frac{4115439}{250000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{93\times 4115439}{1100\times 250000000}\times 100$$

Do the multiplications in the fraction \frac{93\times 4115439}{1100\times 250000000}.

$$\frac{382735827}{275000000000}\times 100$$

Express \frac{382735827}{275000000000}\times 100 as a single fraction.

$$\frac{382735827\times 100}{275000000000}$$

Multiply 382735827 and 100 to get 38273582700.

$$\frac{38273582700}{275000000000}$$

Reduce the fraction \frac{38273582700}{275000000000} to lowest terms by extracting and canceling out 100.

$$\frac{382735827}{2750000000}$$

Factor

$$\frac{31 \cdot 457271 \cdot 3 ^ {3}}{11 \cdot 2 ^ {7} \cdot 5 ^ {9}} = 0.13917666436363638$$