Solve 5000/441+66287/4410+20

$$\frac { 5000 } { 441 } + \frac { 66287 } { 4410 } + 20$$

Evaluate

$$\frac{204487}{4410}\approx 46.36893424$$

Solution Steps

Least common multiple of 441 and 4410 is 4410. Convert \frac{5000}{441} and \frac{66287}{4410} to fractions with denominator 4410.

$$\frac{50000}{4410}+\frac{66287}{4410}+20$$

Since \frac{50000}{4410} and \frac{66287}{4410} have the same denominator, add them by adding their numerators.

$$\frac{50000+66287}{4410}+20$$

Add 50000 and 66287 to get 116287.

$$\frac{116287}{4410}+20$$

Convert 20 to fraction \frac{88200}{4410}.

$$\frac{116287}{4410}+\frac{88200}{4410}$$

Since \frac{116287}{4410} and \frac{88200}{4410} have the same denominator, add them by adding their numerators.

$$\frac{116287+88200}{4410}$$

Add 116287 and 88200 to get 204487.

$$\frac{204487}{4410}$$

Factor

$$\frac{204487}{2 \cdot 3 ^ {2} \cdot 5 \cdot 7 ^ {2}} = 46\frac{1627}{4410} = 46.36893424036281$$