Solve 100/450+200100/560

$$\frac { 100 } { 450 } + 200 \frac { 100 } { 560 }$$

Evaluate

$$\frac{50501}{252}\approx 200.400793651$$

Solution Steps

Reduce the fraction \frac{100}{450} to lowest terms by extracting and canceling out 50.

$$\frac{2}{9}+\frac{200\times 560+100}{560}$$

Multiply 200 and 560 to get 112000.

$$\frac{2}{9}+\frac{112000+100}{560}$$

Add 112000 and 100 to get 112100.

$$\frac{2}{9}+\frac{112100}{560}$$

Reduce the fraction \frac{112100}{560} to lowest terms by extracting and canceling out 20.

$$\frac{2}{9}+\frac{5605}{28}$$

Least common multiple of 9 and 28 is 252. Convert \frac{2}{9} and \frac{5605}{28} to fractions with denominator 252.

$$\frac{56}{252}+\frac{50445}{252}$$

Since \frac{56}{252} and \frac{50445}{252} have the same denominator, add them by adding their numerators.

$$\frac{56+50445}{252}$$

Add 56 and 50445 to get 50501.

$$\frac{50501}{252}$$

Factor

$$\frac{11 \cdot 4591}{2 ^ {2} \cdot 3 ^ {2} \cdot 7} = 200\frac{101}{252} = 200.40079365079364$$