Solve 45000/129500+2*75000+1500/129500+4*8000/129500=

$$\frac{ 45000 }{ 129500 } +2 \times \frac{ 75000+1500 }{ 129500 } +4 \times \frac{ 8000 }{ 129500 } =$$

Evaluate

$$\frac{460}{259}\approx 1.776061776$$

Solution Steps

Reduce the fraction \frac{45000}{129500} to lowest terms by extracting and canceling out 500.

$$\frac{90}{259}+2\times \frac{75000+1500}{129500}+4\times \frac{8000}{129500}$$

Add 75000 and 1500 to get 76500.

$$\frac{90}{259}+2\times \frac{76500}{129500}+4\times \frac{8000}{129500}$$

Reduce the fraction \frac{76500}{129500} to lowest terms by extracting and canceling out 500.

$$\frac{90}{259}+2\times \frac{153}{259}+4\times \frac{8000}{129500}$$

Express 2\times \frac{153}{259} as a single fraction.

$$\frac{90}{259}+\frac{2\times 153}{259}+4\times \frac{8000}{129500}$$

Multiply 2 and 153 to get 306.

$$\frac{90}{259}+\frac{306}{259}+4\times \frac{8000}{129500}$$

Since \frac{90}{259} and \frac{306}{259} have the same denominator, add them by adding their numerators.

$$\frac{90+306}{259}+4\times \frac{8000}{129500}$$

Add 90 and 306 to get 396.

$$\frac{396}{259}+4\times \frac{8000}{129500}$$

Reduce the fraction \frac{8000}{129500} to lowest terms by extracting and canceling out 500.

$$\frac{396}{259}+4\times \frac{16}{259}$$

Express 4\times \frac{16}{259} as a single fraction.

$$\frac{396}{259}+\frac{4\times 16}{259}$$

Multiply 4 and 16 to get 64.

$$\frac{396}{259}+\frac{64}{259}$$

Since \frac{396}{259} and \frac{64}{259} have the same denominator, add them by adding their numerators.

$$\frac{396+64}{259}$$

Add 396 and 64 to get 460.

$$\frac{460}{259}$$

Factor

$$\frac{2 ^ {2} \cdot 5 \cdot 23}{7 \cdot 37} = 1\frac{201}{259} = 1.776061776061776$$