Solve 45/14-49/18

$$\frac{ 45 }{ 14 } - \frac{ 49 }{ 18 }$$

Evaluate

$$\frac{31}{63}\approx 0.492063492$$

Solution Steps

Least common multiple of 14 and 18 is 126. Convert \frac{45}{14} and \frac{49}{18} to fractions with denominator 126.

$$\frac{405}{126}-\frac{343}{126}$$

Since \frac{405}{126} and \frac{343}{126} have the same denominator, subtract them by subtracting their numerators.

$$\frac{405-343}{126}$$

Subtract 343 from 405 to get 62.

$$\frac{62}{126}$$

Reduce the fraction \frac{62}{126} to lowest terms by extracting and canceling out 2.

$$\frac{31}{63}$$

Factor

$$\frac{31}{3 ^ {2} \cdot 7} = 0.49206349206349204$$