Solve 4600*(1/0.92*0+1.7+1/0.92*0+0.62)

$$4600 \times ( \frac{ 1 }{ 0.92 \times 0+1.7 } + \frac{ 1 }{ 0.92 \times 0+0.62 } )$$

Evaluate

$$\frac{5336000}{527}\approx 10125.237191651$$

Solution Steps

Multiply 0.92 and 0 to get 0.

$$4600\left(\frac{1}{0+1.7}+\frac{1}{0.92\times 0+0.62}\right)$$

Add 0 and 1.7 to get 1.7.

$$4600\left(\frac{1}{1.7}+\frac{1}{0.92\times 0+0.62}\right)$$

Expand \frac{1}{1.7} by multiplying both numerator and the denominator by 10.

$$4600\left(\frac{10}{17}+\frac{1}{0.92\times 0+0.62}\right)$$

Multiply 0.92 and 0 to get 0.

$$4600\left(\frac{10}{17}+\frac{1}{0+0.62}\right)$$

Add 0 and 0.62 to get 0.62.

$$4600\left(\frac{10}{17}+\frac{1}{0.62}\right)$$

Expand \frac{1}{0.62} by multiplying both numerator and the denominator by 100.

$$4600\left(\frac{10}{17}+\frac{100}{62}\right)$$

Reduce the fraction \frac{100}{62} to lowest terms by extracting and canceling out 2.

$$4600\left(\frac{10}{17}+\frac{50}{31}\right)$$

Least common multiple of 17 and 31 is 527. Convert \frac{10}{17} and \frac{50}{31} to fractions with denominator 527.

$$4600\left(\frac{310}{527}+\frac{850}{527}\right)$$

Since \frac{310}{527} and \frac{850}{527} have the same denominator, add them by adding their numerators.

$$4600\times \frac{310+850}{527}$$

Add 310 and 850 to get 1160.

$$4600\times \frac{1160}{527}$$

Express 4600\times \frac{1160}{527} as a single fraction.

$$\frac{4600\times 1160}{527}$$

Multiply 4600 and 1160 to get 5336000.

$$\frac{5336000}{527}$$

Factor

$$\frac{23 \cdot 29 \cdot 2 ^ {6} \cdot 5 ^ {3}}{17 \cdot 31} = 10125\frac{125}{527} = 10125.237191650855$$