Solve 2left(6*9.43/2+10*8.544/2right)

$$2 \left( \frac{ 6 \cdot 9.43 }{ 2 } + \frac{ 10 \cdot 8.544 }{ 2 } \right)$$

Evaluate

$$142.02$$

Solution Steps

Multiply 6 and 9.43 to get 56.58.

$$2\left(\frac{56.58}{2}+\frac{10\times 8.544}{2}\right)$$

Expand \frac{56.58}{2} by multiplying both numerator and the denominator by 100.

$$2\left(\frac{5658}{200}+\frac{10\times 8.544}{2}\right)$$

Reduce the fraction \frac{5658}{200} to lowest terms by extracting and canceling out 2.

$$2\left(\frac{2829}{100}+\frac{10\times 8.544}{2}\right)$$

Multiply 10 and 8.544 to get 85.44.

$$2\left(\frac{2829}{100}+\frac{85.44}{2}\right)$$

Expand \frac{85.44}{2} by multiplying both numerator and the denominator by 100.

$$2\left(\frac{2829}{100}+\frac{8544}{200}\right)$$

Reduce the fraction \frac{8544}{200} to lowest terms by extracting and canceling out 8.

$$2\left(\frac{2829}{100}+\frac{1068}{25}\right)$$

Least common multiple of 100 and 25 is 100. Convert \frac{2829}{100} and \frac{1068}{25} to fractions with denominator 100.

$$2\left(\frac{2829}{100}+\frac{4272}{100}\right)$$

Since \frac{2829}{100} and \frac{4272}{100} have the same denominator, add them by adding their numerators.

$$2\times \frac{2829+4272}{100}$$

Add 2829 and 4272 to get 7101.

$$2\times \frac{7101}{100}$$

Express 2\times \frac{7101}{100} as a single fraction.

$$\frac{2\times 7101}{100}$$

Multiply 2 and 7101 to get 14202.

$$\frac{14202}{100}$$

Reduce the fraction \frac{14202}{100} to lowest terms by extracting and canceling out 2.

$$\frac{7101}{50}$$

Factor

$$\frac{263 \cdot 3 ^ {3}}{2 \cdot 5 ^ {2}} = 142\frac{1}{50} = 142.02$$