Solve 2*242.5left(1+0.114right)/frac{0.8{0.114}+0.114/0.8}

$$\frac{ 2 \cdot 242.5 \left( 1+0.114 \right) }{ \frac{ 0.8 }{ 0.114 } + \frac{ 0.114 }{ 0.8 } }$$

Evaluate

$$\frac{12318612}{163249}\approx 75.459034971$$

Solution Steps

Multiply 2 and 242.5 to get 485.

$$\frac{485\left(1+0.114\right)}{\frac{0.8}{0.114}+\frac{0.114}{0.8}}$$

Add 1 and 0.114 to get 1.114.

$$\frac{485\times 1.114}{\frac{0.8}{0.114}+\frac{0.114}{0.8}}$$

Multiply 485 and 1.114 to get 540.29.

$$\frac{540.29}{\frac{0.8}{0.114}+\frac{0.114}{0.8}}$$

Expand \frac{0.8}{0.114} by multiplying both numerator and the denominator by 1000.

$$\frac{540.29}{\frac{800}{114}+\frac{0.114}{0.8}}$$

Reduce the fraction \frac{800}{114} to lowest terms by extracting and canceling out 2.

$$\frac{540.29}{\frac{400}{57}+\frac{0.114}{0.8}}$$

Expand \frac{0.114}{0.8} by multiplying both numerator and the denominator by 1000.

$$\frac{540.29}{\frac{400}{57}+\frac{114}{800}}$$

Reduce the fraction \frac{114}{800} to lowest terms by extracting and canceling out 2.

$$\frac{540.29}{\frac{400}{57}+\frac{57}{400}}$$

Least common multiple of 57 and 400 is 22800. Convert \frac{400}{57} and \frac{57}{400} to fractions with denominator 22800.

$$\frac{540.29}{\frac{160000}{22800}+\frac{3249}{22800}}$$

Since \frac{160000}{22800} and \frac{3249}{22800} have the same denominator, add them by adding their numerators.

$$\frac{540.29}{\frac{160000+3249}{22800}}$$

Add 160000 and 3249 to get 163249.

$$\frac{540.29}{\frac{163249}{22800}}$$

Divide 540.29 by \frac{163249}{22800} by multiplying 540.29 by the reciprocal of \frac{163249}{22800}.

$$540.29\times \frac{22800}{163249}$$

Convert decimal number 540.29 to fraction \frac{54029}{100}.

$$\frac{54029}{100}\times \frac{22800}{163249}$$

Multiply \frac{54029}{100} times \frac{22800}{163249} by multiplying numerator times numerator and denominator times denominator.

$$\frac{54029\times 22800}{100\times 163249}$$

Do the multiplications in the fraction \frac{54029\times 22800}{100\times 163249}.

$$\frac{1231861200}{16324900}$$

Reduce the fraction \frac{1231861200}{16324900} to lowest terms by extracting and canceling out 100.

$$\frac{12318612}{163249}$$

Factor

$$\frac{3 \cdot 19 \cdot 97 \cdot 557 \cdot 2 ^ {2}}{163249} = 75\frac{74937}{163249} = 75.45903497111775$$