Solve 206/225+400/1521

$$\frac { 206 } { 225 } + \frac { 400 } { 1521 }$$

Evaluate

$$\frac{14938}{12675}\approx 1.178540434$$

Solution Steps

Least common multiple of 225 and 1521 is 38025. Convert \frac{206}{225} and \frac{400}{1521} to fractions with denominator 38025.

$$\frac{34814}{38025}+\frac{10000}{38025}$$

Since \frac{34814}{38025} and \frac{10000}{38025} have the same denominator, add them by adding their numerators.

$$\frac{34814+10000}{38025}$$

Add 34814 and 10000 to get 44814.

$$\frac{44814}{38025}$$

Reduce the fraction \frac{44814}{38025} to lowest terms by extracting and canceling out 3.

$$\frac{14938}{12675}$$

Factor

$$\frac{2 \cdot 7 \cdot 11 \cdot 97}{3 \cdot 5 ^ {2} \cdot 13 ^ {2}} = 1\frac{2263}{12675} = 1.1785404339250494$$