Solve 3div2.674+2.5

$$3 \div 2.674+2.5$$

Evaluate

$$\frac{9685}{2674}\approx 3.621914734$$

Solution Steps

Expand \frac{3}{2.674} by multiplying both numerator and the denominator by 1000.

$$\frac{3000}{2674}+2.5$$

Reduce the fraction \frac{3000}{2674} to lowest terms by extracting and canceling out 2.

$$\frac{1500}{1337}+2.5$$

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.

$$\frac{1500}{1337}+\frac{5}{2}$$

Least common multiple of 1337 and 2 is 2674. Convert \frac{1500}{1337} and \frac{5}{2} to fractions with denominator 2674.

$$\frac{3000}{2674}+\frac{6685}{2674}$$

Since \frac{3000}{2674} and \frac{6685}{2674} have the same denominator, add them by adding their numerators.

$$\frac{3000+6685}{2674}$$

Add 3000 and 6685 to get 9685.

$$\frac{9685}{2674}$$

Factor

$$\frac{5 \cdot 13 \cdot 149}{2 \cdot 7 \cdot 191} = 3\frac{1663}{2674} = 3.6219147344801796$$