Solve 3/2.634+2.5

$$\frac{ 3 }{ 2.634 } +2.5$$

Evaluate

$$\frac{3195}{878}\approx 3.638952164$$

Solution Steps

Expand \frac{3}{2.634} by multiplying both numerator and the denominator by 1000.

$$\frac{3000}{2634}+2.5$$

Reduce the fraction \frac{3000}{2634} to lowest terms by extracting and canceling out 6.

$$\frac{500}{439}+2.5$$

Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\frac{500}{439}+\frac{5}{2}$$

Least common multiple of 439 and 2 is 878. Convert \frac{500}{439} and \frac{5}{2} to fractions with denominator 878.

$$\frac{1000}{878}+\frac{2195}{878}$$

Since \frac{1000}{878} and \frac{2195}{878} have the same denominator, add them by adding their numerators.

$$\frac{1000+2195}{878}$$

Add 1000 and 2195 to get 3195.

$$\frac{3195}{878}$$

Factor

$$\frac{5 \cdot 71 \cdot 3 ^ {2}}{2 \cdot 439} = 3\frac{561}{878} = 3.638952164009112$$