Solve 66*(5.5^2/10+9.8)

$$66 \times ( \frac{ { 5.5 }^{ 2 } }{ 10 } +9.8)$$

Evaluate

$$846.45$$

Solution Steps

Calculate 5.5 to the power of 2 and get 30.25.

$$66\left(\frac{30.25}{10}+9.8\right)$$

Expand \frac{30.25}{10} by multiplying both numerator and the denominator by 100.

$$66\left(\frac{3025}{1000}+9.8\right)$$

Reduce the fraction \frac{3025}{1000} to lowest terms by extracting and canceling out 25.

$$66\left(\frac{121}{40}+9.8\right)$$

Convert decimal number 9.8 to fraction \frac{98}{10}. Reduce the fraction \frac{98}{10} to lowest terms by extracting and canceling out 2.

$$66\left(\frac{121}{40}+\frac{49}{5}\right)$$

Least common multiple of 40 and 5 is 40. Convert \frac{121}{40} and \frac{49}{5} to fractions with denominator 40.

$$66\left(\frac{121}{40}+\frac{392}{40}\right)$$

Since \frac{121}{40} and \frac{392}{40} have the same denominator, add them by adding their numerators.

$$66\times \frac{121+392}{40}$$

Add 121 and 392 to get 513.

$$66\times \frac{513}{40}$$

Express 66\times \frac{513}{40} as a single fraction.

$$\frac{66\times 513}{40}$$

Multiply 66 and 513 to get 33858.

$$\frac{33858}{40}$$

Reduce the fraction \frac{33858}{40} to lowest terms by extracting and canceling out 2.

$$\frac{16929}{20}$$

Factor

$$\frac{11 \cdot 19 \cdot 3 ^ {4}}{5 \cdot 2 ^ {2}} = 846\frac{9}{20} = 846.45$$