Solve (98.1+100000*0.0078)*0.06+9000*0.06^2/2

$$(98.1+100000 \times 0.0078) \times 0.06+9000 \times \frac{ { 0.06 }^{ 2 } }{ 2 }$$

Evaluate

$$68.886$$

Solution Steps

Multiply 100000 and 0.0078 to get 780.

$$\left(98.1+780\right)\times 0.06+9000\times \frac{0.06^{2}}{2}$$

Add 98.1 and 780 to get 878.1.

$$878.1\times 0.06+9000\times \frac{0.06^{2}}{2}$$

Multiply 878.1 and 0.06 to get 52.686.

$$52.686+9000\times \frac{0.06^{2}}{2}$$

Calculate 0.06 to the power of 2 and get 0.0036.

$$52.686+9000\times \frac{0.0036}{2}$$

Expand \frac{0.0036}{2} by multiplying both numerator and the denominator by 10000.

$$52.686+9000\times \frac{36}{20000}$$

Reduce the fraction \frac{36}{20000} to lowest terms by extracting and canceling out 4.

$$52.686+9000\times \frac{9}{5000}$$

Express 9000\times \frac{9}{5000} as a single fraction.

$$52.686+\frac{9000\times 9}{5000}$$

Multiply 9000 and 9 to get 81000.

$$52.686+\frac{81000}{5000}$$

Reduce the fraction \frac{81000}{5000} to lowest terms by extracting and canceling out 1000.

$$52.686+\frac{81}{5}$$

Convert decimal number 52.686 to fraction \frac{52686}{1000}. Reduce the fraction \frac{52686}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{26343}{500}+\frac{81}{5}$$

Least common multiple of 500 and 5 is 500. Convert \frac{26343}{500} and \frac{81}{5} to fractions with denominator 500.

$$\frac{26343}{500}+\frac{8100}{500}$$

Since \frac{26343}{500} and \frac{8100}{500} have the same denominator, add them by adding their numerators.

$$\frac{26343+8100}{500}$$

Add 26343 and 8100 to get 34443.

$$\frac{34443}{500}$$

Factor

$$\frac{43 \cdot 89 \cdot 3 ^ {2}}{2 ^ {2} \cdot 5 ^ {3}} = 68\frac{443}{500} = 68.886$$