Solve 500+40+4+61/60+901/100+3001/1000=

$$500+40+4+ \frac{ 61 }{ 60 } + \frac{ 901 }{ 100 } + \frac{ 3001 }{ 1000 } =$$

Evaluate

$$\frac{1671083}{3000}\approx 557.027666667$$

Solution Steps

Add 500 and 40 to get 540.

$$540+4+\frac{61}{60}+\frac{901}{100}+\frac{3001}{1000}$$

Add 540 and 4 to get 544.

$$544+\frac{61}{60}+\frac{901}{100}+\frac{3001}{1000}$$

Convert 544 to fraction \frac{32640}{60}.

$$\frac{32640}{60}+\frac{61}{60}+\frac{901}{100}+\frac{3001}{1000}$$

Since \frac{32640}{60} and \frac{61}{60} have the same denominator, add them by adding their numerators.

$$\frac{32640+61}{60}+\frac{901}{100}+\frac{3001}{1000}$$

Add 32640 and 61 to get 32701.

$$\frac{32701}{60}+\frac{901}{100}+\frac{3001}{1000}$$

Least common multiple of 60 and 100 is 300. Convert \frac{32701}{60} and \frac{901}{100} to fractions with denominator 300.

$$\frac{163505}{300}+\frac{2703}{300}+\frac{3001}{1000}$$

Since \frac{163505}{300} and \frac{2703}{300} have the same denominator, add them by adding their numerators.

$$\frac{163505+2703}{300}+\frac{3001}{1000}$$

Add 163505 and 2703 to get 166208.

$$\frac{166208}{300}+\frac{3001}{1000}$$

Reduce the fraction \frac{166208}{300} to lowest terms by extracting and canceling out 4.

$$\frac{41552}{75}+\frac{3001}{1000}$$

Least common multiple of 75 and 1000 is 3000. Convert \frac{41552}{75} and \frac{3001}{1000} to fractions with denominator 3000.

$$\frac{1662080}{3000}+\frac{9003}{3000}$$

Since \frac{1662080}{3000} and \frac{9003}{3000} have the same denominator, add them by adding their numerators.

$$\frac{1662080+9003}{3000}$$

Add 1662080 and 9003 to get 1671083.

$$\frac{1671083}{3000}$$

Factor

$$\frac{17 \cdot 98299}{2 ^ {3} \cdot 3 \cdot 5 ^ {3}} = 557\frac{83}{3000} = 557.0276666666666$$