Solve 200+460/7+34000/460

$$200+ \frac{ 460 }{ 7 } + \frac{ 34000 }{ 460 }$$

Evaluate

$$\frac{54680}{161}\approx 339.627329193$$

Solution Steps

Convert 200 to fraction \frac{1400}{7}.

$$\frac{1400}{7}+\frac{460}{7}+\frac{34000}{460}$$

Since \frac{1400}{7} and \frac{460}{7} have the same denominator, add them by adding their numerators.

$$\frac{1400+460}{7}+\frac{34000}{460}$$

Add 1400 and 460 to get 1860.

$$\frac{1860}{7}+\frac{34000}{460}$$

Reduce the fraction \frac{34000}{460} to lowest terms by extracting and canceling out 20.

$$\frac{1860}{7}+\frac{1700}{23}$$

Least common multiple of 7 and 23 is 161. Convert \frac{1860}{7} and \frac{1700}{23} to fractions with denominator 161.

$$\frac{42780}{161}+\frac{11900}{161}$$

Since \frac{42780}{161} and \frac{11900}{161} have the same denominator, add them by adding their numerators.

$$\frac{42780+11900}{161}$$

Add 42780 and 11900 to get 54680.

$$\frac{54680}{161}$$

Factor

$$\frac{2 ^ {3} \cdot 5 \cdot 1367}{7 \cdot 23} = 339\frac{101}{161} = 339.6273291925466$$