Solve 2*242.5left(1+0.114right)/frac{0.4{0.114}+0.114/0.4}

$$\frac{ 2 \cdot 242.5 \left( 1+0.114 \right) }{ \frac{ 0.4 }{ 0.114 } + \frac{ 0.114 }{ 0.4 } }$$

Evaluate

$$\frac{6159306}{43249}\approx 142.414992254$$

Solution Steps

Multiply 2 and 242.5 to get 485.

$$\frac{485\left(1+0.114\right)}{\frac{0.4}{0.114}+\frac{0.114}{0.4}}$$

Add 1 and 0.114 to get 1.114.

$$\frac{485\times 1.114}{\frac{0.4}{0.114}+\frac{0.114}{0.4}}$$

Multiply 485 and 1.114 to get 540.29.

$$\frac{540.29}{\frac{0.4}{0.114}+\frac{0.114}{0.4}}$$

Expand \frac{0.4}{0.114} by multiplying both numerator and the denominator by 1000.

$$\frac{540.29}{\frac{400}{114}+\frac{0.114}{0.4}}$$

Reduce the fraction \frac{400}{114} to lowest terms by extracting and canceling out 2.

$$\frac{540.29}{\frac{200}{57}+\frac{0.114}{0.4}}$$

Expand \frac{0.114}{0.4} by multiplying both numerator and the denominator by 1000.

$$\frac{540.29}{\frac{200}{57}+\frac{114}{400}}$$

Reduce the fraction \frac{114}{400} to lowest terms by extracting and canceling out 2.

$$\frac{540.29}{\frac{200}{57}+\frac{57}{200}}$$

Least common multiple of 57 and 200 is 11400. Convert \frac{200}{57} and \frac{57}{200} to fractions with denominator 11400.

$$\frac{540.29}{\frac{40000}{11400}+\frac{3249}{11400}}$$

Since \frac{40000}{11400} and \frac{3249}{11400} have the same denominator, add them by adding their numerators.

$$\frac{540.29}{\frac{40000+3249}{11400}}$$

Add 40000 and 3249 to get 43249.

$$\frac{540.29}{\frac{43249}{11400}}$$

Divide 540.29 by \frac{43249}{11400} by multiplying 540.29 by the reciprocal of \frac{43249}{11400}.

$$540.29\times \frac{11400}{43249}$$

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

$$\frac{54029}{100}\times \frac{11400}{43249}$$

Multiply \frac{54029}{100} times \frac{11400}{43249} by multiplying numerator times numerator and denominator times denominator.

$$\frac{54029\times 11400}{100\times 43249}$$

Do the multiplications in the fraction \frac{54029\times 11400}{100\times 43249}.

$$\frac{615930600}{4324900}$$

Reduce the fraction \frac{615930600}{4324900} to lowest terms by extracting and canceling out 100.

$$\frac{6159306}{43249}$$

Factor

$$\frac{2 \cdot 3 \cdot 19 \cdot 97 \cdot 557}{61 \cdot 709} = 142\frac{17948}{43249} = 142.41499225415618$$