Solve 60*10^3/200*355+5*10^3/6667

$$\frac { 60 \times 10 ^ { 3 } } { 200 \times 355 } + \frac { 5 \times 10 ^ { 3 } } { 6667 }$$

Evaluate

$$\frac{755020}{473357}\approx 1.595032924$$

Solution Steps

Cancel out 10\times 20 in both numerator and denominator.

$$\frac{3\times 10^{2}}{355}+\frac{5\times 10^{3}}{6667}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{3\times 100}{355}+\frac{5\times 10^{3}}{6667}$$

Multiply 3 and 100 to get 300.

$$\frac{300}{355}+\frac{5\times 10^{3}}{6667}$$

Reduce the fraction \frac{300}{355} to lowest terms by extracting and canceling out 5.

$$\frac{60}{71}+\frac{5\times 10^{3}}{6667}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{60}{71}+\frac{5\times 1000}{6667}$$

Multiply 5 and 1000 to get 5000.

$$\frac{60}{71}+\frac{5000}{6667}$$

Least common multiple of 71 and 6667 is 473357. Convert \frac{60}{71} and \frac{5000}{6667} to fractions with denominator 473357.

$$\frac{400020}{473357}+\frac{355000}{473357}$$

Since \frac{400020}{473357} and \frac{355000}{473357} have the same denominator, add them by adding their numerators.

$$\frac{400020+355000}{473357}$$

Add 400020 and 355000 to get 755020.

$$\frac{755020}{473357}$$

Factor

$$\frac{2 ^ {2} \cdot 5 \cdot 7 \cdot 5393}{59 \cdot 71 \cdot 113} = 1\frac{281663}{473357} = 1.5950329244101176$$