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

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

Evaluate

$$\frac{30796530}{229241}\approx 134.341282755$$

Solution Steps

Multiply 2 and 242.5 to get 485.

$$\frac{485\left(1+0.114\right)}{\frac{0.4}{0.114}+\frac{0.114}{0.4}+2\times 0.114}$$

Add 1 and 0.114 to get 1.114.

$$\frac{485\times 1.114}{\frac{0.4}{0.114}+\frac{0.114}{0.4}+2\times 0.114}$$

Multiply 485 and 1.114 to get 540.29.

$$\frac{540.29}{\frac{0.4}{0.114}+\frac{0.114}{0.4}+2\times 0.114}$$

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

$$\frac{540.29}{\frac{400}{114}+\frac{0.114}{0.4}+2\times 0.114}$$

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

$$\frac{540.29}{\frac{200}{57}+\frac{0.114}{0.4}+2\times 0.114}$$

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

$$\frac{540.29}{\frac{200}{57}+\frac{114}{400}+2\times 0.114}$$

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

$$\frac{540.29}{\frac{200}{57}+\frac{57}{200}+2\times 0.114}$$

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

$$\frac{540.29}{\frac{40000}{11400}+\frac{3249}{11400}+2\times 0.114}$$

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

$$\frac{540.29}{\frac{40000+3249}{11400}+2\times 0.114}$$

Add 40000 and 3249 to get 43249.

$$\frac{540.29}{\frac{43249}{11400}+2\times 0.114}$$

Multiply 2 and 0.114 to get 0.228.

$$\frac{540.29}{\frac{43249}{11400}+0.228}$$

Convert decimal number 0.228 to fraction \frac{228}{1000}. Reduce the fraction \frac{228}{1000} to lowest terms by extracting and canceling out 4.

$$\frac{540.29}{\frac{43249}{11400}+\frac{57}{250}}$$

Least common multiple of 11400 and 250 is 57000. Convert \frac{43249}{11400} and \frac{57}{250} to fractions with denominator 57000.

$$\frac{540.29}{\frac{216245}{57000}+\frac{12996}{57000}}$$

Since \frac{216245}{57000} and \frac{12996}{57000} have the same denominator, add them by adding their numerators.

$$\frac{540.29}{\frac{216245+12996}{57000}}$$

Add 216245 and 12996 to get 229241.

$$\frac{540.29}{\frac{229241}{57000}}$$

Divide 540.29 by \frac{229241}{57000} by multiplying 540.29 by the reciprocal of \frac{229241}{57000}.

$$540.29\times \frac{57000}{229241}$$

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

$$\frac{54029}{100}\times \frac{57000}{229241}$$

Multiply \frac{54029}{100} times \frac{57000}{229241} by multiplying numerator times numerator and denominator times denominator.

$$\frac{54029\times 57000}{100\times 229241}$$

Do the multiplications in the fraction \frac{54029\times 57000}{100\times 229241}.

$$\frac{3079653000}{22924100}$$

Reduce the fraction \frac{3079653000}{22924100} to lowest terms by extracting and canceling out 100.

$$\frac{30796530}{229241}$$

Factor

$$\frac{2 \cdot 3 \cdot 5 \cdot 19 \cdot 97 \cdot 557}{23 \cdot 9967} = 134\frac{78236}{229241} = 134.34128275483008$$