Solve 8+120div13+150div23+100div7

$$8+120 \div 13+150 \div 23+100 \div 7$$

Evaluate

$$\frac{79614}{2093}\approx 38.038222647$$

Solution Steps

Convert 8 to fraction \frac{104}{13}.

$$\frac{104}{13}+\frac{120}{13}+\frac{150}{23}+\frac{100}{7}$$

Since \frac{104}{13} and \frac{120}{13} have the same denominator, add them by adding their numerators.

$$\frac{104+120}{13}+\frac{150}{23}+\frac{100}{7}$$

Add 104 and 120 to get 224.

$$\frac{224}{13}+\frac{150}{23}+\frac{100}{7}$$

Least common multiple of 13 and 23 is 299. Convert \frac{224}{13} and \frac{150}{23} to fractions with denominator 299.

$$\frac{5152}{299}+\frac{1950}{299}+\frac{100}{7}$$

Since \frac{5152}{299} and \frac{1950}{299} have the same denominator, add them by adding their numerators.

$$\frac{5152+1950}{299}+\frac{100}{7}$$

Add 5152 and 1950 to get 7102.

$$\frac{7102}{299}+\frac{100}{7}$$

Least common multiple of 299 and 7 is 2093. Convert \frac{7102}{299} and \frac{100}{7} to fractions with denominator 2093.

$$\frac{49714}{2093}+\frac{29900}{2093}$$

Since \frac{49714}{2093} and \frac{29900}{2093} have the same denominator, add them by adding their numerators.

$$\frac{49714+29900}{2093}$$

Add 49714 and 29900 to get 79614.

$$\frac{79614}{2093}$$

Factor

$$\frac{2 \cdot 3 ^ {2} \cdot 4423}{7 \cdot 13 \cdot 23} = 38\frac{80}{2093} = 38.0382226469183$$